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A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation

Link to publisher's homepage at https://amci.unimap.edu.my/

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Main Authors: Ranjan, Rakesh, Prasad, H. S., Md. J, Alam
Other Authors: 90.ranjan@gmail.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2021
Subjects:
Differential-Difference equations
Exponential fitting factor
Finite difference
Singular perturbations
Stability and convergence of numerical methods
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/69390
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spelling my.unimap-693902021-01-26T07:29:37Z A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation Ranjan, Rakesh Prasad, H. S. Md. J, Alam 90.ranjan@gmail.com Differential-Difference equations Exponential fitting factor Finite difference Singular perturbations Stability and convergence of numerical methods Link to publisher's homepage at https://amci.unimap.edu.my/ A new exponentially fitted numerical method based on uniform mesh is proposed to obtain the solution of a class of singularly perturbed convection delayed dominated diffusion equation. The considered equation is first reduced to the ordinary singularly perturbed problem by expanding the term containing negative shift using Taylor series expansion procedure and then a three-term scheme is obtained using the theory of finite differences. A fitting factor is introduced in the derived scheme with the help of singular perturbation theory. Thomas algorithm is employed to find the solution of the resulting tridiagonal system of equations. Stability and convergence of the proposed method are discussed. The method is shown to be first accurate. Computational results for two example problems are presented for different values of the grid point, N and perturbation parameter, . It is observed that the method is capable of approximating the solution very well. 2021-01-26T07:29:37Z 2021-01-26T07:29:37Z 2020-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.9, 2020, pages 21-38 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/69390 en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Differential-Difference equations
Exponential fitting factor
Finite difference
Singular perturbations
Stability and convergence of numerical methods
spellingShingle Differential-Difference equations
Exponential fitting factor
Finite difference
Singular perturbations
Stability and convergence of numerical methods
Ranjan, Rakesh
Prasad, H. S.
Md. J, Alam
A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 90.ranjan@gmail.com
author_facet 90.ranjan@gmail.com
Ranjan, Rakesh
Prasad, H. S.
Md. J, Alam
format Article
author Ranjan, Rakesh
Prasad, H. S.
Md. J, Alam
author_sort Ranjan, Rakesh
title A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
title_short A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
title_full A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
title_fullStr A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
title_full_unstemmed A fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
title_sort fitted numerical method for a class of singularly perturbed convection delayed dominated diffusion equation
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2021
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/69390
_version_ 1698698597504122880
score 13.222552

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