On Finite Difference Fitted Schemes for Singularly Perturbed Boundary Value Problems with a Parabolic Boundary Layer

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5314 ◽

1997 ◽

Vol 208 (1) ◽

pp. 181-204 ◽

Author(s):

G.I. Shishkin

Keyword(s):

Boundary Layer ◽

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Parabolic Boundary ◽

Parabolic Boundary Layer

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Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(89)90109-2 ◽

1989 ◽

Vol 29 (4) ◽

pp. 1-10 ◽

Author(s):

G.I. Shishkin

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Parabolic Boundary ◽

Parabolic Boundary Layer

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Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Monotonic Nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542518040097 ◽

2018 ◽

Vol 58 (4) ◽

pp. 562-571 ◽

Author(s):

I. V. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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A numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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Corner Boundary Layer in Boundary Value Problems for Singularly Perturbed Parabolic Equations with Nonmonotonic Nonlinearities

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519090070 ◽

2019 ◽

Vol 59 (9) ◽

pp. 1518-1527

Author(s):

I. V. Denisov ◽

A. I. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Singularly Perturbed Parabolic Equations

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Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542517020051 ◽

2017 ◽

Vol 57 (2) ◽

pp. 253-271 ◽

Author(s):

I. V. Denisov

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Quadratic Nonlinearity ◽

Angular Boundary ◽

Singularly Perturbed Parabolic Equations

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Estimate of boundary layer thickness for linear, singularly perturbed two-point boundary-value problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00940735 ◽

1989 ◽

Vol 63 (1) ◽

pp. 109-117 ◽

Author(s):

A. Singh ◽

M. K. Kadalbajoo

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Layer Thickness ◽

Boundary Layer Thickness ◽

Boundary Value ◽

Singularly Perturbed ◽

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On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems

Lithuanian Mathematical Journal ◽

10.1007/s10986-008-9017-5 ◽

2008 ◽

Vol 48 (3) ◽

pp. 339-356 ◽

Author(s):

M. Sapagovas

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Value Problems ◽

Finite Difference Scheme ◽

Boundary Value ◽

Parabolic Boundary ◽

The Stability ◽

Parabolic Boundary Value Problems

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Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2009.01.010 ◽

2009 ◽

Vol 57 (7) ◽

pp. 1147-1156 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Devendra Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Value Problems ◽

Finite Difference Scheme ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Initial Value ◽

Exponentially Fitted

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The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2020.4.04 ◽

2020 ◽

Vol 19 (4) ◽

pp. 45-56

Author(s):

Hakkı Duru ◽

Baransel Güneş

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Reaction Diffusion ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

Diffusion Boundary ◽

The Finite Difference Method

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Computational Method for Singularly Perturbed Boundary Value Problems with Dual Boundary Layer

Procedia Engineering ◽

10.1016/j.proeng.2015.11.383 ◽

2015 ◽

Vol 127 ◽

pp. 370-376 ◽

Author(s):

K. Phaneendra ◽

S. Rakmaiah ◽

M. Chenna Krishna Reddy

Keyword(s):

Boundary Layer ◽

Boundary Value Problems ◽

Boundary Value ◽

Computational Method ◽

Singularly Perturbed

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