A new stable variable mesh method for 1-D non-linear parabolic partial differential equations

Urvashi Arora; Samir Karaa; R.K. Mohanty

doi:10.1016/j.amc.2006.02.032

A new stable variable mesh method for 1-D non-linear parabolic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.02.032 ◽

2006 ◽

Vol 181 (2) ◽

pp. 1423-1430 ◽

Cited By ~ 2

Author(s):

Urvashi Arora ◽

Samir Karaa ◽

R.K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Variable Mesh ◽

Mesh Method ◽

Non Linear ◽

Stable Variable

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An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.06.122 ◽

2007 ◽

Vol 186 (1) ◽

pp. 219-229 ◽

Cited By ~ 11

Author(s):

R.K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Accuracy ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Variable Mesh ◽

Non Linear

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High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations

Advances in Difference Equations ◽

10.1186/s13662-017-1274-3 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 4

Author(s):

RK Mohanty ◽

Sachin Sharma

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

High Accuracy ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Variable Mesh ◽

Mesh Method ◽

Spline In Compression

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Galerkin approximations to non-linear pseudo-parabolic partial differential equations

Aequationes Mathematicae ◽

10.1007/bf01835978 ◽

1976 ◽

Vol 14 (3) ◽

pp. 271-291 ◽

Cited By ~ 9

Author(s):

William H. Ford

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Galerkin Approximations ◽

Non Linear

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Periodic Solutions for certain Non-Linear Parabolic Partial Differential Equations

Industrial Electromagnetics Modelling ◽

10.1007/978-94-009-6917-9_8 ◽

1983 ◽

pp. 89-99

Author(s):

G. Gregory

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Non Linear

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Serial solution of parabolic partial differential equations: The decomposition method for non-linear and space-dependent problems

SIMULATION ◽

10.1177/003754976901300107 ◽

1969 ◽

Vol 13 (1) ◽

pp. 47-48 ◽

Cited By ~ 4

Author(s):

Robert Vichnevetsky

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Decomposition Method ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Non Linear

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An automatic technique for solving coupled vector systems of non-linear parabolic partial differential equations in one space dimension

Planetary and Space Science ◽

10.1016/0032-0633(77)90132-5 ◽

1977 ◽

Vol 25 (3) ◽

pp. 209-215 ◽

Cited By ~ 39

Author(s):

J.T. Hastings ◽

R.G. Roble

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Space Dimension ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Vector Systems ◽

Non Linear ◽

Automatic Technique ◽

One Space Dimension

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A Collocation Method for the Numerical Solution of Non-linear Parabolic Partial Differential Equations

IMA Journal of Applied Mathematics ◽

10.1093/imamat/22.3.305 ◽

1978 ◽

Vol 22 (3) ◽

pp. 305-315 ◽

Cited By ~ 5

Author(s):

D. KNIBB ◽

R. E. SCRATON

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Non Linear

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A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations

Advances in Difference Equations ◽

10.1186/s13662-016-1048-3 ◽

2016 ◽

Vol 2016 (1) ◽

Cited By ~ 1

Author(s):

Ranjan Kumar Mohanty ◽

Deepti Kaur

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Fourth Order ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Variable Mesh

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Two adaptive wavelet algorithms for non-linear parabolic partial differential equations

Computers & Fluids ◽

10.1016/s0045-7930(01)00061-5 ◽

2002 ◽

Vol 31 (4-7) ◽

pp. 467-480 ◽

Cited By ~ 9

Author(s):

G. Chiavassa ◽

M. Guichaoua ◽

J. Liandrat

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Adaptive Wavelet ◽

Non Linear

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The non-linear stability of front solutions for parabolic partial differential equations

Communications in Mathematical Physics ◽

10.1007/bf02099781 ◽

1994 ◽

Vol 161 (2) ◽

pp. 323-334 ◽

Cited By ~ 25

Author(s):

Jean-Pierre Eckmann ◽

C. Eugene Wayne

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Linear Stability ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Front Solutions ◽

Non Linear

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