ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions-Reference-Cited by-同舟云学术

ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions

Published:2023-03-08 Issue:6 Volume:11 Page:1303
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Sapagovas Mifodijus¹^ORCID,Štikonas Artūras²^ORCID,Štikonienė Olga²^ORCID

Affiliation:

1. Institute of Data Science and Digital Technologies, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania

2. Institute of Applied Mathematics, Vilnius University, Naugarduko Str. 24, LT-03225 Vilnius, Lithuania

Abstract

This paper deals with the numerical solution of nonlocal boundary-value problem for two-dimensional pseudoparabolic equation which arise in many physical phenomena. A three-layer alternating direction implicit method is investigated for the solution of this problem. This method generalizes Peaceman–Rachford’s ADI method for the 2D parabolic equation. The stability of the proposed method is proved in the special norm. We investigate algebraic eigenvalue problem with nonsymmetric matrices to prove this stability. Numerical results are presented.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1303/pdf

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