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Application of the Non-Polynomial Spline Approach to the Solution of the Burgers’ EquationDOI: 10.2174/1874114200701010015] Abstract: 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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