On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions

Nonlinear Analysis

Mifodijus Sapagovas¹  Olga Štikonienė¹  Artūras Štikonas¹  Justina Jachimavičienė² 

[1] Vilnius University, Lithuania;Vytautas Magnus University, Lithuania;

关键词: pseudoparabolic equation;    nonlocal conditions;    explicit finite difference scheme;    stability;    stability regions;    nonlinear eigenvalue problem;   

DOI  :  10.15388/NA.2014.2.6

来源: DOAJ

【 摘 要 】

A new explicit conditionally consistent finite difference scheme for one-dimensional third-order linear pseudoparabolic equation with nonlocal conditions is constructed. The stability of the finite difference scheme is investigated by analysing a nonlinear eigenvalue problem. The stability conditions are stated and stability regions are described. Some numerical experiments are presented in order to validate theoretical results.

【 授权许可】

Unknown