Solving the wave equation for the solution u = u(x, t) by the finite difference method, we study the analytical stability and calculate truncation error of the method. The analytical convergence of this method is studied together with the continuity and the differentiability of the solution u = u(x, t) with respect to the perturbation term σ. Numerical solving technique was implemented in Scilab.

wave equation, stability, convergence, numerical simulation, continuity, differentiability.

Received: June 9, 2022; Accepted: July 18, 2022; Published: September 21, 2022

How to cite this article: D. V. Pongui Ngoma, G. Nguimbi, V. D. Mabonzo, V. R. Mbingui and B. B. Bamvi Madzou, Mathematical and numerical study of two wave equations, International Journal of Numerical Methods and Applications 22 (2022), 1-18. http://dx.doi.org/10.17654/0975045222004

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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