Affiliation:
1. Faculty of Sciences of Sfax Sfax University Sfax Tunisia
2. University Sorbonne Paris Nord, LAGA‐CNRS Villetaneuse France
Abstract
We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce the blow‐up phenomena, we propose a rule of scaling transformation, which is a variant of what was successfully used in the case of nonlinear parabolic equations. A careful study of the convergence of the proposed scheme is carried out and several numerical examples are performed in illustration.
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