Non-polynomial Spline Method for Solving Coupled Burgers Equations
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-3-3_006
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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 ۲L, 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.
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Authors
Khalid K. Ali
Department, Faculty of Science, Al-Azhar University, Nasr City (۱۱۸۸۴), Cairo, Egypt
K. R. Raslan
Department, Faculty of Science, Al-Azhar University, Nasr City (۱۱۸۸۴), Cairo, Egypt.
Talaat S. El-Danaf
Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt