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Restrictive Taylor approximation for Gardner and KdV equations. (English) Zbl 1359.65160

Summary: The Restrictive Taylor Approximation is implemented to find numerical solution of linear and nonlinear partial differential equation. In this paper we introduce the numerical solution of Gardner equation and General KdV equation, also we study the stability of both equations. The scheme is based on evaluation the restrictive term at the first solution level and then applies the formula for the next levels.

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65N06 Finite difference methods for boundary value problems involving PDEs
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