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Finite difference schemes for the two-dimensional semilinear wave equation
Journal article   Peer reviewed

Finite difference schemes for the two-dimensional semilinear wave equation

Talha Achouri
Numerical methods for partial differential equations, Vol.35(1), pp.200-221
01/01/2019
DOI: https://doi.org/10.1002/num.22297

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, two finite difference schemes for solving the semilinear wave equation are proposed. The unique solvability and the stability are discussed. The second-order accuracy convergence in both time and space in the discrete H-1-norm for the two proposed difference schemes is proved. Numerical experiments are performed to support our theoretical results.

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