Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider the one-dimensional initial-boundary problem for a pseudoparabolic equation with a time delay in the second spatial derivative. To solve this problem numerically, we construct a higher-order difference method and obtain the error estimate 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 of order two in time. Given numerical results illustrate the convergence and effectiveness of the numerical method. & COPY; 2023 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Delay pseudo-parabolic equation, Three layer difference scheme, Error estimate, partial differential t, Schemes
Kaynak
Journal of Computational and Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
436
