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.

引用

页码：998 / 1004

页数：7

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