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A Computational Method for the Singularly Perturbed Delay Pseudo-Parabolic Differential Equations on Adaptive Mesh

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Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis Ltd

Abstract

This paper aims to establish the finite difference scheme on Bakhvalov-type mesh for the singularly perturbed pseudo-parabolic problems with time-delay. Using the energy estimates, the bounds of the solution are investigated. An error analysis is derived in the discrete energy norm and the almost second order convergence is obtained. The reliability of the suggested method is displayed by means of a numerical example.

Description

Keywords

Delay Differential Equation, Difference Scheme, Error Estimate, Pseudo-Parabolic Problem, Singular Perturbation

Turkish CoHE Thesis Center URL

WoS Q

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Source

Volume

100

Issue

8

Start Page

1667

End Page

1682