Abstract:Although explicit finite difference method (EFDM) for linear wave equation is conditional stability, it has many advantages of low computational memory, cheap computational cost and easy implementation. Meanwhile, stable criterion is comparatively good and acceptable. In this article, an EFDM is generalized to solve nonlinear coupled wave equations in two spaces. Using the discrete energy method and introducing new analytical techniques, it is strictly shown that their solutions are conditionally convergent wi… Show more
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