An Implicit Difference Scheme for a Mixed Problem of Hyperbolic Type with Memory.

Autor: Abdiramanov, Zh. A., Baishemirov, Zh. D., Berdyshev, A. S., Shiyapov, K. M.
Zdroj: Lobachevskii Journal of Mathematics; Feb2024, Vol. 45 Issue 2, p569-577, 9p
Abstrakt: In this article is proposed a method for numerically solving a mixed problem for a hyperbolic equation with memory. An implicit difference scheme is constructed as an effective means for solving complex multidimensional problems of mathematical physics. A condition is found for guaranteed stability of an implicit difference scheme for a mixed problem in the -norm. The order of convergence for all variables of the presented difference scheme was calculated and confirmed by numerical experiment. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index