Three layer difference method for linear pseudo-parabolic equation with delay

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Tarih

2022

Dergi Başlığı

Dergi ISSN

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Yayıncı

Elsevier

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This paper deals with the study a finite-difference approximation of the one dimensional initial-boundary value problem for a pseudo-parabolic equation containing time delay in second derivative. We propose three layer difference scheme and obtain the error estimates for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and order two in time. Numerical results are presented to illustrate the theoretical findings. (C) 2021 Elsevier B.V. All rights reserved.

Açıklama

Anahtar Kelimeler

Delay pseudo-parabolic equation, Three layer difference scheme, Error estimate, Numerical Schemes, 2-Phase Flow

Kaynak

Journal Of Computational And Applied Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

401

Sayı

Künye