Septic B-spline method of the Korteweg-de Vries–Burger’s equation |
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Institution: | 1. Department of Physics, University of Peshawar, 25000 Peshawar, Pakistan;2. Department of Physics, Abdul Wali Khan University Mardan, 23200, Pakistan;3. Department of Physics, FBAS, International Islamic University (IIUI), Islamabad 44000, Pakistan |
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Abstract: | In this paper, a numerical solution for the Korteweg-de Vries–Burger’s equation (KdVB) by using the collocation method using the septic splines is proposed. Applying the Von-Neumann stability analysis technique we show that the method is unconditionally stable. By conducting a comparison between the absolute error for the obtained numerical results and the analytic solution of the equation we will test the accuracy of the proposed method. |
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