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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.
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Ramadan, M. A., El‐Danaf, T. S., & Alaal, F. E. A. (2007). Application of the Non-Polynomial Spline Approach to the Solution of the Burgers Equation'. The Open Applied Mathematics Journal, 1(1), 15–20. https://doi.org/10.2174/1874114200701010015
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