Homotopy perturbation method for numerical solutions of KdV‐Burgers' and Lax's seventh‐order KdV equations |
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| Authors: | Ahmet Yildirim Murat Erşen Berberler |
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| Institution: | 1. Department of Mathematics, Science Faculty, Ege University, 35100 2. Bornova‐?zmir, Turkey |
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| Abstract: | In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg‐de Vries Burgers (for short, KdVB) and Lax's seventh‐order KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this type of nonlinear equations and excellent accuracy. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | homotopy perturbation method Korteweg‐de Vries Burgers equation Lax's seventh‐order KdV equation |
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