| publication name | Restrictive Approximation Algorithm for Kuramoto–Sivashinsky Equation |
|---|---|
| Authors | Tamer M. Rageh, Hassan N.A. Ismail , Ghada S.E. Salem and F.A.El-Salam |
| year | 2015 |
| keywords | Kuramoto–Sivashinsky Equation; Restrictive Taylor Approximation; Finite difference; Exponential matrix; Burger’s equation. |
| journal | International Journal of Modern Mathematical Sciences USA |
| volume | 13 |
| issue | 1 |
| pages | 29-38 |
| publisher | Modern Scientific Press Company |
| Local/International | International |
| Paper Link | http://www.modernscientificpress.com/Journals/ViewArticle.aspx?XBq7Uu+HD/8eRjFUGMqlRY8BMWFn0v/h/OlRNSEZ1v91HwMJ3UOkND4uAz/p5yR7 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
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