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Restrictive Approximation Algorithm for Kuramoto–Sivashinsky Equation

International Journal of Modern Mathematical Sciences USA • 2015
العودة
معلومات البحث
المؤلفون Tamer M. Rageh, Hassan N.A. Ismail , Ghada S.E. Salem and F.A.El-Salam
الكلمات المفتاحية Kuramoto–Sivashinsky Equation; Restrictive Taylor Approximation; Finite difference; Exponential matrix; Burger’s equation.
المجلة العلمية International Journal of Modern Mathematical Sciences USA
الناشر Modern Scientific Press Company
المجلد 13
العدد 1
الصفحات 29-38
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
A new finite difference Algorithm called the Restrictive Taylor Approximation
(RTA) is implemented to find the numerical solution of Kuramoto–Sivashinsky equation
which is nonlinear partial differential equation. This method is a new explicit method. The
accuracy of the method is assessed in terms of the absolute error which is very close to zero.
We solve also Burger’s equation and Viscous Burger equation