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Non-polynomial Spline Method for Solving Coupled Burgers Equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 12، دوره 3، شماره 3، مهر 2015، صفحه 218-230 اصل مقاله (514.86 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Khalid K. Ali* 1؛ K. R. Raslan2؛ Talaat S. El-Danaf3 | ||
| 1Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt | ||
| 2Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. | ||
| 3Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt | ||
| چکیده | ||
| In this paper, non-polynomial spline method for solving Coupled Burgers Equations are presented. We take a new spline function. The stability analysis using Von-Neumann technique shows the scheme is unconditionally stable. To test accuracy the error norms 2L, L are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equations. These results show that the technique introduced here is accurate and easy to apply. | ||
| کلیدواژهها | ||
| Non-polynomial؛ spline method؛ Coupled؛ Burger’s؛ Equations | ||
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