He's homotopy perturbation method for solving the shock wave equation |
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| Authors: | Murat Erşen Berberler Ahmet Yildirim |
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| Institution: | 1. Department of Mathematics, Faculty of Science , Ege University , 35100 Bornova-?zmir , Turkey murat.ersen.berberler@ege.edu.tr;3. Department of Mathematics, Faculty of Science , Ege University , 35100 Bornova-?zmir , Turkey |
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| Abstract: | In this article, we discuss the analytic solution of the fully developed shock waves. The homotopy perturbation method is used to solve the shock wave equation, which describes the flow of gases. Unlike the various numerical techniques, which are usually valid for short period of time, the solution of the presented equation is analytic for 0 < t < ∞. The results presented converge very rapidly, indicating that the method is reliable and accurate. |
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| Keywords: | the homotopy perturbation method shock wave equations soliton solutions conservation law |
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