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مقالات فارسیISIکنفرانسهاژورنالها

Non-polynomial Spline Method for Solving Coupled Burgers Equations

Publish place: Computational Methods for Differential Equations، Vol: 3، Issue: 3
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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لینک ثابت به این Paper:
https://civilica.com/doc/1616363

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.

Keywords:

Non-polynomial , spline method , Coupled , Burger’s , Equations

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