Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method


Amirali I., Amiraliyev G. M.

Journal of Computational and Applied Mathematics, vol.436, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 436
  • Publication Date: 2024
  • Doi Number: 10.1016/j.cam.2023.115417
  • Journal Name: Journal of Computational and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: Delay pseudo-parabolic equation, Error estimate, Three layer difference scheme
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

In this paper, we consider the one-dimensional initial–boundary problem for a pseudo-parabolic 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.