Page 1 of 9 Prof. M.K. Kadalbajoo

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9


Prof. M.K. Kadalbajoo

Complete list of Publication

1.

A numerical method for solving mildly non
-
linear elliptic problems over irregular
regions.Indian J. Pure and Applied Maths., Vol.7, no.2, pp.212
-
223, 1976 (with
P.C. Jain).

2.

Dynamic programming solutions of mildly non
-
linear el
liptic problems over
irregular regions.International J. Computer Math., Section B, Vol.5, pp.231
-
239,
1976 (with P.C. Jain).

3.

Invariant imbedding approach for the solution of minimal surface equation ,J.Math.
Anal. and Applications, Vol.61, no.3, pp.543
-
55
7, 1977 (with P.C.Jain).

4.

Invariant imbedding method for the solution of coupled Burger’s equation. J. Math.
Anal. and Applications, Vol.72, no.1, pp.1
-
16 (with P.C. Jain).

5.


Iterative techniques for non
-
linear boundary control problems.In ‘Optimizing
Method
s in Statistics’ edited by J.S. Rustogi, Proceedings of an International
Conference, Academic Press, pp.289
-
300, 1979 (with P.C. Jain and Labib
Iskandar).

6.

A numerical technique for solving nonlinear elliptic problems.Indian J. Pure and
Applied Maths., Vol
.11, no.1, pp.20
-
32, 1980 (with P.C. Jain).

7.

Numerical solution of a quasilinear parabolic problem. Proc. Indian Acad. Sci.,
(Mathematical Sciences), Vol.89, no.1, pp.67
-
33, 1980 (with P.C. Jain).

8.

Symmetric marching technique for the discretized Poisson equ
ation.Applied
Mathematics and Computation, Vol.12, no.3, pp.197
-
198, 1983 (with K.K.
Bharadwaj and R. Sankar).

9.

Symmetric marching technique for the efficient solution of discretized Poisson
equation on non
-
rectangular regions. In ‘Numerical Methods in Lami
nar and
Turbulent Flow’ edited by C. Taylor and B. Schrefler, Proceedings of an
International Conference, Pineridge Press, pp.1215
-
1228, 1981 (with K.K.
Bharadwaj).

10.

Symmetric marching technique for the Poisson equation. I: Dirichlet boundary
conditions.App
lied Mathematics and Computation, Vol.15, no.2, pp.137
-
150, 1984
(with K.K. Bharadwaj and R. Sankar).

11.

Symmetric marching technique for the Poisson equation. II: Mixed boundary
condition.Applied Mathematics and Computation, Vol.15, no.2, pp.151
-
164, 1984
(w
ith K.K. Bharadwaj and R. Sankar).

12.

Symmetric marching technique for the numerical solution of nonseparable elliptic
equations.Applied Mathematics and Computation, Vol.14, no.2, pp.197
-
206, 1984
(with K.K. Bharadwaj).

13.

Symmetric marching technique and ellipt
ic equation with variable coefficients
involving mixed partial derivatives. Applied Mathematics and Computation,
Vol.15, no.4, pp.315
-
324, 1984 (with K.K. Bharadwaj).

14.

Fast elliptic solvers
-

An overview.Applied Mathematics and Computation, Vol.14,
no.4, pp
.331
-
356.

15.

Numerical solution of singular boundary value problems by invariant imbedding. J.
Computational Physics, Vol.55, no.2, pp.268
-
277, 1984 (with K.S. Raman).

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Prof. M.K. Kadalbajoo

16.

Discreted invariant imbedding for the numerical solution of boundary value
problem over inf
inite intervals.Applied Mathematics and Computation, Vol.15,
no.4, pp.305
-
314, 1984 (with K.S. Raman).

17.

On fast direct methods for solving elliptic equations over non rectangular regions.
Applied Mathematics and Computation, Vol.16, no.1, pp.1
-
18, 1985 (wit
h K.K.
Bharadwaj).

18.

Numerical solution of singular boundary value problems via Chebyshev
polynomials and invariant imbedding. Technical Report, Dept. of Maths., I.I.T.,
Kanpur, 1984 (with K.S. Raman).

19.

Cubic spline and invariant imbedding for solving singula
r two
-
point boundary value
problems. J. Math. Anal. and Applications, Vol.112, no.1, pp.22
-
35, 1985 (with
K.S. Raman).

20.

Cubic spline solutions of boundary value problems over infinite intervals. J.
Computational and Appl. Mathematics, Vol.15, pp.283
-
291, 1
986 (with K.S.
Raman)

21.

Numerical solution of Cauchy singular integral equations via initial value methods.
Applied Mathematics and Computation, Vol.18, no.3, pp.211
-
222, 1986.

22.

Invariant imbedding method for the solution of elliptic equations with boundary
s
ingularities. Presented at the Vth IMACS International Conference on Computer
Methods for Partial Differential Equations, Lehigh University, Bethelhem, U.S.A.,
June 19
-
22, 1984.

23.

A numerical scheme for solving singular perturbation problems by invariant
imb
edding.Technical Report, Dept. of Maths., IIT, Kanpur, 1986 (with Y.N.
Reddy).

24.

The method of inner boundary conditions: a new approach for solving singular
perturbation problems.J. Computational Physics, Vol.62, pp.349
-
360, 1986 (with
Y.N. Reddy).

25.

Discrete

invariant imbedding for singular boundary value problems with regular
singularity.Applied Math. & Computation, Vol.22, no.4, pp.291
-
308, 1987 (with
K.S. Raman).

26.

Numerical solution of singular perturbation problem using cubic splines.Technical
Report, Dept
. of Mathematics, IIT Kanpur (with Y.N. Reddy).

27.

Modified fourth order finite difference methods for singular boundary value
problems I: linear case.Technical Report, Dept. of Mathematics, IIT Kanpur, 1985
(with K.S. Raman).

28.

Modified fourth order finite dif
ference methods for singular boundary value
problems II: nonlinear case. Technical Report, Dept. of Mathematics, IIT Kanpur,
1985 (with K.S. Raman).

29.

A computational method for solving singular perturbation problems using fourth
order finite difference.Comm
. In Appl. Numer. Methods, Vol.2, 1986, pp.609
-
615,
1986 (with Y.N. Reddy).

30.

Numerical solution of singular perturbation problems by terminal boundary value
technique.J. Optimiz. Theory and Applications, Vol.52, no.2, pp.243
-
254, 1987
(with Y.N. Reddy).

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Prof. M.K. Kadalbajoo

31.

Num
erical treatment of singularly perturbed two
-
point boundary value problems.
Applied Mathematics and Computation, Vol.21, no.2, pp.93
-
110, 1987 (with Y.N.
Reddy).

32.

Approximate method for the numerical solution of singular perturbation problems.
Applied Mathe
matics and Computation, Vol.21, no.3, pp.185
-
200, 1987 (with Y.N.
Reddy).

33.

Numerical integration of a class of singular perturbation problems. J. Optimiz.
Theory and Applications, Vol.51, no.3, pp.441
-
452, 1986 (with Y.N. Reddy).

34.

An asymptotic and numerical

analysis of singular perturbation problems
-

A
survey.Technical Report, Dept. of Mathematics, IIT Kanpur, 1987.

35.

Numerical analysis
-

some problems and recent trends.Proceedings of an
International Workshop on ‘Engineering Software
-

Applications and Resea
rch’
held during Jan. 21
-
25, 1985 at IIT Kanpur.

36.

Numerical solution of singular perturbation problems via deviating
arguments.Applied Mathematics and Computation, Vol.21, no.3, pp.221
-
232, 1987
(with Y.N. Reddy).

37.

An approximate method for solving a class o
f singular perturbation
problems.J.Math. Anal. & Applic., Vol.133, no.2, pp.306
-
323, 1988 (with Y.N.
Reddy).

38.

An initial value technique for a class of nonlinear singular perturbation problems. J.
Optimiz. Theory and Applic., Vol.53, no.3, pp.395
-
406, 1987
(with Y.N. Reddy).

39.

A non
-
asymptotic method for singular perturbation problems. J. Optimiz. Theory
and Applic., Vol.55, no.1, pp.73
-
84, 1987 (with Y.N. Reddy).

40.

A non
-
asymptotic method for general linear singular perturbation problems.J.
Optimiz. Theory and
Applic., Vol.55, no.2, pp.257
-
270, 1987 (with Y.N. Reddy).

41.

A boundary value method for a class of nonlinear singular perturbation
problems.Comm. Appl. Numerical Methods, Vol.4, pp.587
-
594, 1988 (with
Y.N.Reddy).

42.

A boundary value technique to solve linear s
tate regulator problems Communicated
for publication (with A. Singh)

43.


A


cutting point technique for solving nonlinear state regulator problems.IMA J. of


Math. Control & Information, Vol.4, pp.183
-
194, 1987 (with A. Singh)

44.

A boundary value technique for s
olving singularly perturbed fixed end
-
point
optimal control problems.Optimal Control Applications and Methods, Vol.9`,
pp.443
-
448, 1988 (with A. Singh)

45.

Numerical Treatment of Stiff Linear Block
-
diagonal Systems of
ODEs.Communicated for publication (with A.

Singh).

46.

On a linearization of nonlinear autonomous two
-
point boundary value problems.
Communicated for publication (with A. Singh).

47.

A numerical method for solving singularly perturbed systems of non linear two
-
point boundary value problems.Technical Repor
t, Department of Mathematics, IIT,
Kanpur (with A. Singh).

48.

Estimate of boundary layer thickness for linear singularly perturbed two
-
point
boundary value problems.J. Optimiz. Theory & Applic., Vol.63, no.1, pp.143
-
151,
1989 (with A. Singh).

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Prof. M.K. Kadalbajoo

49.

Partial decoupli
ng of slow and fast variables.J. Math. Anal. & Applic. Vol.155,
no.1, pp.46
-
54, 1991.

50.

Numerical solution of singularly perturbed two
-
point boundary value problems
-

Some new approaches.Technical Report, Department of Mathematics, IIT, Kanpur,
1989.

51.

A modif
ied version of Newton’s iteration. International J. Comput. Math., Vol.33,
pp.107
-
113, 1990.

52.

A fourth order cubic spline method for initial value problems.Communicated for
publication (with R.K. Bawa).

53.

Cubic spline method for a class of non
-
linear singular
ly perturbed boundary value
problems.Communicated for publication (with R.K. Bawa).

54.

Numerical solution of singularly perturbed initial value problems using a fourth
order cubic spline.Communicated for publication (with R.K. Bawa).

55.

Third order variable mesh

cubic spline method for singularly perturbed boundary
value problems.Applied Mathematics & Computation, Vol.59, no.2
-
3, pp.117
-
129,
1993 (with R.K. Bawa).

56.

Third order variable mesh cubic spline method for nonlinear two
-
point singularly
perturbed boundary
value problems. Journal of Optimization Theory & Application,
Vol.77, no.2, pp.439
-
449, 1993 (with R.K. Bawa).

57.

Variable mesh difference scheme for singularly perturbed boundary value problems
using splines.Journal of Optimization Theory & Application, Vol.
90, no.2, 1996
(with R.K. Bawa).

58.

Cubic spline method for a class of nonlinear singularly perturbed boundary value
problems.Journal of Optimization Theory & Application, Vol.76, no.3, 415
-
428,
1993 (with R.K. Bawa).

59.

Existence of the new quadrant interlockin
g factorization for parallel solution of
tridiagonal linear systems International Journal of Computer Mathematics, Vol.48,
pp.95
-
103, 1993 (with S.C. Rao).

60.

On the existence of the new quadrant interlocking factorization for parallel solution
of tridiagonal

linear systems. International Journal of Computer Mathematics,
Vol.51, pp.181
-
192, 1994 (with S. Chandrasekara Rao).

61.

The alternating group explicit (AGE) method for singularly perturbed boundary
value problems.Applied Mathematics & Computation, Vol.79, pp
.1
-
18, 1994 (with
A. Appaji Rao).

62.

On modified alternating group explict (MAGE) method for singular perturbation
problems.International Journal of Computer Mathematics, Vol.51, pp.239
-
249,
1994 (with A. Appaji Rao).

63.

Parallel method for singularly perturbed
boundary value
problems.ParallelAlgorithms and Applications, Vol.8, pp.121
-
131, 1995 (with A.
Appaji Rao).

64.

Parallel new group explicit method for solving tridiagonal systems. Submitted for
publication (with A. Appaji Rao).

65.

Parallel group explicit method fo
r two dimensional parabolic equation.Parallel
Computing, Vol.23, pp.649
-
666, 1997 (with A. Appaji Rao).

66.

Parallel WDZ algorithm for parabolic equations with a small parameter.Submitted
for publication (with A. Appaji Rao).

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Prof. M.K. Kadalbajoo

67.

Parallel AGE algorithm for parabol
ic equations with a small parameter. Parallel
Algorithms and Applications, Vol.8, pp.155
-
168, 1996 (with A. Appaji Rao).

68.

Parallel discrete invariant imbedding algorithm for singular perturbation problems.
International Journal of Computer Mathematics, Vol.
66, pp.149
-
161, 1998 (with A.
Appaji Rao).

69.

Boundary element method for elliptic differential equation with a small parameter.
Applied Mathematics & Computation, Vol.80, pp.1
-
13, 1995 (with K.Arumugam).

70.

On fundamental solution in boundary element method for

singular perturbation
problems.Boundary Element Communications, Vol.8, pp.14
-
17, 1997 (with K.
Arumuguam).

71.

Boundary element method for singularly perturbed ellptic boundary value
problems.J. Computational Physics, to appear (with K. Arumugam).

72.

Parallel gr
oup explicit algorithms for nonlinear singular perturbation problems with
variable mesh. Submitted for publication (with A. Appaji Rao).

73.

On nonlinear singular perturbation problems of elliptic type using boundary
element method.Submitted for publication (w
ith K. Arumugam).

74.

Performance analysis of AGE algorithm for singular perturbation problems.Parallel
Algorithm & Applications, Vol.10, pp.315
-
318, 1997 (with A. Appaji Rao).

75.

A parallel algorithm for banded linear systems.Parallel Algorithm & Applications,
V
ol.14, pp.235
-
252, 2000 (with S.C.Rao).

76.

Variable mesh spline approximation method for solving singularly perturbed
turning point problems having boundary layer(s).Computers and Mathematics with
Applications, Vol.42, no.10
-
11, pp.1439
-
1453, 2001 (with K.C.
Patidar).

77.

Numerical solution of singularly perturbed non linear two point boundary value
problems by spline in compression.International Journal of Computer Mathematics,
Vol.79, no.2, pp.271
-
288, 2002 (with K.C. Patidar).

78.

Spline techniques for the numerica
l solution of singular perturbation problems. J.
Optimization Theory & Applications, Vol.112, no.3, pp.574
-
594, 2002 (with K.C.
Patidar).

79.

Spline techniques for solving singularly perturbed non
-
linear problems on non
-
uniform grids, J. Optimization Theory &
Applications, Vol.114, no.3, 573
-
591,
2002 (with K.C. Patidar).

80.

Spline approximation method for solving self
-
adjoint singular perutrbation
problems on non
-
uniform grids, Journal of Computational Analysis and
Applications, vol. 5, no. 4, 425
-
451, 2003 (with

K.C. Patidar).

81.

Variable mesh spline in compression for the numerical solution of singular
perturbation problems, International J. Computer Mathematics,vol. 80, no.1, 83
-
93,
2003 (with K.C. Patidar).

82.

Exponentially fitted spline in compression for the numer
ical solution of singular
perturbation problems. Computers and Mathematics with applications, vol. 46, no.
5
-
6, 751
-
767, 2003 (with K.C. Patidar).

83.

Exponentially fitted spline approximation method for solving self
-
adjoint singular
perturbation problems. Int
ernational J. of Mathematics and Mathematical Sciences,
vol. 61, 3873
-
3891 (with K.C. Patidar).

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Prof. M.K. Kadalbajoo

84.

Variable mesh spline approximation method for solving singularly perturbed
turning point problems having interior layer. To appear in Journal of computational
m
ethods in science and engineering (with K.C. Patidar).

85.

Singularly perturbed problems in partial differential equations
-

a survey. Applied
Mathematics and Computation, vol.134, no. 2
-
3, 371
-
429, 2003 (with K.C. Patidar).

86.

Numerical solution of singularly pe
rturbed two point boundary value problems by
spline in Compression. International journal of Computer Mathematics,vol.77 ,no.2
, 263
-
284, 2001 (with K.C. Patidar).

87.

Numerical solution of singularly perturbed two point boundary value problems by
spline in te
nsion. Applied Mathematics

Computation, vol.131, no.2
-
3, 299
-
320,
2002(with K.C. Patidar).

88.

Tension spline for the solution of self
-
adjoint singular perturbation
problems.International J. Computer Mathematics, vol.79, no.7, 849
-
865, 2002 (with
K.C. Patidar
).

89.

Tension spline for the numerical solution of singularly perturbed non
-
linear
boundary value problems.Computational and Applied Mathematics, vol. 112. no. 3,
717
-
742, 2002 (with K.C. Patidar).

90.

A survey of numerical techniques for solving singularly pertu
rbed ordinary
differential equations. Applied Mathematics and Computation, vol.130, no.2
-
3,
457
-
510, 2002(with K.C. Patidar).

91.

Variable mesh spline approximation method for solving singularly perturbed
turning point problems having layer, to appear in J. of

Comp. methods in science
and engineering (With K.C. Patidar)

92.

Singularly perturbed problems in partial differential equations: a survey,
Applied
Mathematics


and Computation
, Vol. 134, no. 2
-
3, 371
-
429, 2003.(with K.C.
Patidar)

93.

Exponentially fitted spline

in compression for thenumerical solution of singular
perturbation problems,
Computers and Mathematics with Applications
, Vol. 46, no.
5
-
6, 751
-
767, 2003.(with K.C. Patidar)

94.

Variable mesh spline in compression for the numerical solution of singular
perturb
ation problems,
International Journal of Computer Mathematics
, Vol. 80,
no.1, 83
-
93, 2003.(with K.C. Patidar)

95.

Numerical analysis of boundary value problems for singularly perturbed differential
difference equations with small shifts of mixed type.J. Optimi
zation Theory &
Applications, vol. 115, 145
-
163, oct., 2002 (with K.K. Sharma)

96.

An epsilon
-

uniform fitted operator method for solving boundary value problems
for singularly perturbed delay differential equations: Layer behavior, International
J. of Compute
r Mathematics, vol. 80, no. 10, 1261
-
1276, 2003 (with K.K. Sharma).

97.

Numerical analysis of boundary value problems for singularly Perturbed
differential
-
Difference Equations: small shifts of mixed type with rapid oscillations,
communication in numerical met
hods in engineering, vol.20, pp. 167
-
182, 2004
(with K.K.Sharma)

98.

Epsilon
-
uniform fitted mesh method for singularly perturbed differential
-
difference
equations: Mxed type of shifts with layer behavior , International J. O Computer
mathematics, Vol. 81, No.
1, PP. 49
-
62, Oct., 2004 (with K.K.Sharma)

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Prof. M.K. Kadalbajoo

99.

Parameter
-
Uniform Fitted Mesh Method for Singularly Perturbed Delay
Differential Equations with Layer Behavior,

Accepted in Electronics Transactions
on Numerical Analysis (ETNA), 23 (2006) pp.

180
-
201 (with M.K K
adalbajoo)

100.

An Exponentially Fitted Finite Difference Scheme for Solving Boundary
-
Value
Problems for Singularly
-
Perturbed Differential
-
Difference Equations: Small Shifts
of Mixed Type with Layer Behavior
, J. Comput. Anal.


Appl. 8 (2006), no. 2 151
-
171(with

M.K Kadalbajoo).

101.

Numerical Treatment for Singularly Perturbed Differential Difference Equations
with negative shift
, Nonlinear Analysis, Volume 63, Issues 5
-
7, 2005, Pages e1909
-
e1924 (with M.K Kadalbajoo).

102.

Numerical Treatment of a Mathematical Model ari
sing from a model of neuronal
variability,

Journal of Mathematical Analysis and Applications, Vol. 307, Issue 2,
Pages 606
-
627, 2005 (with M.K Kadalbajoo).

103.

A Parameter
-
Uniform Implicit Finite Difference Scheme for Solving Time
-
Dependent Burgers’ Equations,

Applied Mathematics and Computation, Volume
170, Issue 2, 15 November 2005, Pages 1365
-
1393 (with A. Awasthi and M.K.
Kadalbajoo)

104.

Numerical Treatment of Boundary
-
Value Problems for Second Order Singularly
Perturbed Delay Differential Equations
, Computatio
nal and Applied Mathematics,
Vol.24, no.2, Pages 151
-
172, 2005 (with M.K Kadalbajoo).

105.

Numerical Analysis of Singularly Perturbed Delay Differential Equations with
layer behavior,

Applied Mathematics and Computation, Vol. 157, issue 1, Pages 11
-
28, Sept. 20
04 (with M.K Kadalbajoo).

106.

A Parameter Uniform Numerical Method for a Singularly Perturbed Nonlinear
Delay Differential Equation of Neutral Type
, International J. of Computer
Mathematics, Vol. 81, Pages


845
-
862, July 2004 (with M.K Kadalbajoo).

107.

An ε
-
Unifor
m Convergent Method for a General Boundary
-
Value Problem for
Singularly Perturbed Differential
-
Difference Equations: Small Shifts of Mixed type
with Layer Behavior,
Journal of Computational Methods in Science and
Engineering, Accepted (with M.K Kadalbajoo)
.

108.

A Numerical Method Based on Finite Difference for Boundary Value Problems
for Singularly Perturbed Delay Differential Equations,

Accepted in Int. J. of
Computer Mathematics (with M.K Kadalbajoo).

109.

Numerical Analysis of Non
-
Linear Boundary Value Problems f
or Singularly
Perturbed Delay Differential Equations with Layer Behavior,


Technical Report, IIT
Kanpur 2003 (with M.K Kadalbajoo).

110.

Numerical Analysis of a Mathematical Model arising in Mathematical Modeling
of


Propagating Nerve Impulse in Nerve Fibers (C
ommunicated).

111.

Cubic Spline for solving Singular Two
-
Point Boundary

Value Problems,


Applied Mathematics and Computation}, Vol. 156, 249
-
259, 2004.(With Vivek
Kumar)

112.

Numerical Solution of Singular Boundary Value Problems Via Chebyshev

Polynomial and B
-
S
pline,Applied Mathematics and Computation, Vol. 160, 3, 851
-
863, 2005.(With Vivek Kumar)

113.

B
-

Spline Method for solving Singular Two
-
point Boundary Value Problems over
infinite intervals" Communicating (With Vivek Kumar)

Page
8

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9


Prof. M.K. Kadalbajoo

114.

Fitted Mesh B
-
spline Collocation meth
od for solving Self
-
Adjoint Singularly
Perturbed boundary value problems, {Applied Mathematics and Computation},


Vol. 161, 3, 973
-
987, 2005.(With Vivek Kumar)

115.

Fitted Mesh B
-
spline method for solving a class of singular singularly perturbed
boundary value
problems, International Journal of Computer Mathematics, Vol. 82,
1, 67
-
76, 2005.(With Vivek Kumar)

116.

On a B
-
spline method for a class of singular two
-
point

boundary value problems
using


optimal grid, Accepted, Applied Mathematics and Computation.(With Viv
ek
Kumar)

117.

B
-

Spline Method for solving general Singularly Perturbed Bondary Value
Problems using Fitted mesh, Computing letters, Vol. 2, 4, 193
-
203, 2006.(With
Vivek Kumar)

118.

Fitted Mesh B
-
Spline Collocation method

for solving Singularly Perturbed
Reaction
-
Diffusion Problems, J. of Concrete and Applicable Mathematics, NOVA
Pub., Vol. 4, 3, 349
-
365, 2006.(With Vivek Kumar)

119.

"
ε
-
uniformly convergent fitted methods for the numerical solution of the problems
arising from singularly perturbed general DDEs,
Applied

Mathematics and
Computation
, Vol. 182, 119
-
139, 2006.(with K.C. Patidar)

120.

ε
-
uniformly convergent fitted mesh finite difference methods for general singular
perturbation problems,
Applied Mathematics and Computation
, Vol. 179, 248
-
266,
2006.(with K.C. Patid
ar)

121.

ε
-
Uniformly convergent fitted methodsfor the numerical solution of problems
arising from singularly perturbed general DDEs, Report Nr. UWC
-
MRR 2006/01,
Univesity of the Western Cape, March 2006.(with K.C.Patidar and K.K. Sharma)

122.

Variable mesh spline ap
proximation method for solving singularly perturbed
turning point problems having interior layer, to appear in
Journal of Computational
Methods in Science and Engineering
.(with K.C. Patidar)

123.

A Parameter
-
Uniform Implicit Di®erence Scheme for solving Time
-

D
ependent
Burgers' Equations,
Published in
\
Applied Mathematics and Computations" Vol.
120, pp. 1365
-
1393, 2005 (with Ashish Awasthi).



124.

A Parameter Uniform Di®erence Scheme for Singularly Perturbed Parabolic
Problem in One Space Dimension,
Published in App
lied Mathematics and
Computations", Vol. 183, pp. 42
-
60, 2006 (with Ashish Awasthi).



125.

Numerical Method Based On Crank
-
Nicolson Scheme For Burgers' Equation,
Published in
\
Applied Mathematics and Computations", Vol. 182, pp. 1430
-
1442,
2006.(with Ashish Aw
asthi).



126.

The Midpoint Upwind Finite Di®erence Scheme for Time Dependent Singularly
Perturbed Convection
-
Difusion Equations on Non
-
Uniform Mesh
, (Communicated
with Ashish Awasthi).



127.

Crank
-
Nicolson Finite Di®erence Method Based On Midpoint Upwind Scheme
On

Non
-
Uniform Mesh For Time Dependent SingularlyPerturbed Convection
Di®usion Equations
,


to appear International Journal of Computer Mathematics
(with Ashish Awasthi).



128.

Uniformly Convergent Numerical Method for Solving Modied Burgers' Equations
on a Non
-
U
niform Mesh
, (Communicated with Ashish Awasthi).



Page
9

of
9


Prof. M.K. Kadalbajoo

129.

Parameter Free Hybrid Numerical Method for Solving Modied Burgers' Equations
on a Non
-
Uniform Mesh
, (Communicated with Ashish Awasthi).



130.

A High Resolution Total Variation Diminishing Scheme for Hyperbolic

Conservation Law and Related Problems, Applied Mathematics and Computation,
Volume 175, Issue 2, 15 April 2006, Pages 1556
-
1573.(with Ritesh Kumar)

131.

Efficient Second Order Relaxation Schemes for Hyperbolic Systems of
Conservation Laws, article in press "In
ternational Journal for Numerical Methods in
Fluids. ( with Ritesh Kumar)

132.

Numerical methods on Shishkin mesh for singularly perturbed delay differential
equations with a grid adaptation strategy Applied Mathematics and Computation,
doi:10.1016/j.amc.2006.1
1.046 (with V.P. Ramesh)

133.

Hybrid method for numerical solution of singularly perturbed delay differential
equations, Applied Mathematics and Computation,
doi:10.1016/j.amc.2006.08.159(with V.P. Ramesh)

134.

High Resolution Scheme for Linear Hyperbolic System (Co
mmunicated with
Ritesh Kumar)

135.

A High resolution Shock Capturing Method for nonlinear Hyperbolic
Conservation Laws, (Communicated with Ritesh Kumar)

136.

Efficiency of high order numerical schemes for solving differential difference
equations on a priori adaptiv
e shishkin mesh (communicated with V.P. Ramesh)

137.

High order numerical scheme for Stein's model of neuronal variability without
turning point (Communicated with V.P. Ramesh)

138.

A uniformly convergent B
-
spline collocation method on a nonuniform mesh for
singular
ly perturbed time
-
dependent linear convection
-
diffusion problem
(Communicated with Vikas)

139.

A parameter uniform B
-
spline collocation method for solving singularly perturbed
turning point problem having twin boundary layers (Communicated with Vikas)

140.

B Spline collocation method for a two parameter singularly perturbed convection
-
diffusion BVPs (Communicated with Arjun Singh Yadaw)

141.

Geometric mesh FDM for self adjoint singular perturbation boundary value
problems to appear, Applied Maths & comp (with Dev
endra Kumar)

142.

Finite difference method for semilinear singularly perturbed boundary value
problems via initial value technique ( Communicated with Devendra Kumar)

143.

A new variable mesh FDM for self adjoint singularly perturbed two point
boundary value problem
s ( Communicated with Devendra Kumar)

144.

Space
-
time Galerkin Least
-
Squares method for the one
-
dimensional advection
-
diffusion equation.


(Communicated with Puneet Arora)