Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation'

Mohamed A. Ramadan, Talaat S. El-Danaf, Faisal E.I. Abd Alaal
2007 Open Applied Mathematics Journal  
In this paper, we propose a non-polynomial spline based method to develop a numerical method for approximation to the Burgers ' equation. Applying the Von-Neumann stability analysis, we show that the proposed method is unconditionally stable. A numerical example is given to illustrate the applicability and the accuracy of the presented new method.
doi:10.2174/187411420701011502 fatcat:3dwrjtcao5affbnhzb4vvgj7he