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Restrictive Taylor Approximation for Gardner and KdV Equations

International Journal of Advances in Applied Mathematics and Mechanics • 2014
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Publication Information
Authors Tamer M. Rageh , Ghada Salem , F. A. El-Salam
Keywords Gardner Equation • Restrictive Taylor Approximation • General KdV • Mixed KdV-mKdV equation
Journal International Journal of Advances in Applied Mathematics and Mechanics
Publisher Not Available
Volume Volume 1
Issue Issue 3
Pages 1 - 10
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
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.