STABLE ALGORITHM FOR THE WAVE EQUATION USING FINITE DIFFERENCE METHOD

被引：0
|
作者：
Loumi, A. [1 ]
机构：
[1] Univ Hassiba Benbouali Chlef, Lab Math & Applicat, ENS Kouba, Lab Equat Derivees Partielles Non lineaires & Hist, Algiers, Algeria
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 03期
关键词：
wave equation; projection; finite difference method; PARAREAL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The numerical solution of hyperbolic equations has shown instabilities in some studies (see [2]). In this paper, we use a trick to remedy the reasons for instabili-ties of particular example of hyperbolic equation, namely the wave equation. We propose a simple method based on the finite difference method and the projection on a manifold that conserves energy.
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收藏
页码：998 / 1004
页数：7
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