Numerical treatment for the solution of singularly perturbed pseudo-parabolic problem on an equidistributed grid-Reference-Cited by-同舟云学术

Numerical treatment for the solution of singularly perturbed pseudo-parabolic problem on an equidistributed grid

Published:2020-02-07 Issue:1 Volume:9 Page:169-174
ISSN:2192-8029
Container-title:Nonlinear Engineering
language:
Short-container-title:

Author:

Mohapatra Jugal¹,Shakti Deepti²

Affiliation:

1. Dept. of Mathematics, National Institute of Technology, Rourkela, 769008, India

2. Amity School of Engineering and Technology, Amity University, Gwalior, Madhya Pradesh -474005, India

Abstract

AbstractThe initial-boundary value problem for a pseudo-parabolic equation exhibiting initial layer is considered. For solving this problem numerically independence of the perturbation parameter, we propose a difference scheme which consists of the implicit-Euler method for the time derivative and a central difference method for the spatial derivative on uniform mesh. The time domain is discretized with a nonuniform grid generated by equidistributing a positive monitor function. The performance of the numerical scheme is tested which confirms the expected behavior of the method. The existing method is compared with other methods available in the recent literature.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

Link

https://www.degruyter.com/downloadpdf/journals/nleng/9/1/article-p169.xml

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