STABLE ALGORITHM FOR THE WAVE EQUATION USING FINITE DIFFERENCE METHOD

• Published in: TWMS journal of applied and engineering mathematics Vol. 13; no. 3; p. 998
• Main Author: Loumi, A
• Format: Journal Article
• Language: English
• Published: Istanbul Turkic World Mathematical Society 01.01.2023; Elman Hasanoglu
• Subjects: Algorithms; Analysis; Boundary conditions; Differential equations; Energy; Energy conservation; Finite difference method; Mathematical analysis; Methods; Partial differential equations; Wave equations

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 instabilities of particular example of hyperbolic equation, namely the wave equation. We propose a simple method based on the finite difference me...