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Modified iteration method for solving fractional gas dynamics equation |
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| Authors: | Ramin Najafi Gökçe Dilek Küçük Ercan Çeli?k |
| Institution: | 1. Department of Mathematics, Maku Branch, Islamic Azad University, Maku, Iran;2. Faculty of Science and Literature, Department of Mathematics‐Computer, I?d?r University, I?d?r, Turkey;3. Department of Mathematics, Atatürk University Faculty of Science, Erzurum, Turkey |
| Abstract: | This paper is devoted to the time‐fractional gas dynamics equation with Caputo derivative. Fractional operators are very natural tools to model memory‐dependent phenomena. Modified iteration method is proposed to obtain the approximate and analytical solution of the fractional gas dynamics equation. This method is a combined form of the new iteration method and Laplace transform. Modified iteration method really is powerful and simple method compared with other methods. Existence and uniqueness of solution are proven. Numerical results for different cases of the equation are obtained. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | new iteration method laplace transform fractional gas dynamics equation Caputo derivative |