Non-polynomial Spline Method for Solving Coupled Burgers Equations

K. Ali, Khalid; Raslan, K. R.; El-Danaf, Talaat S.

Non-polynomial Spline Method for Solving Coupled Burgers Equations

Document Type : Research Paper

Authors

¹ Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

² Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.

³ Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt

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 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.

Keywords