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Exact solutions of some partial differential equations using the Modified Differential Transform Method | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اردیبهشت 1395 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3673 | ||
| نویسندگان | ||
| Ummugulsum CANSU KURT* 1؛ Ozan OZKAN2 | ||
| 1Middle East Technical University | ||
| 2Selçuk University | ||
| چکیده | ||
| In this paper, we presented modification of the differential transform method by using Laplace Transform and Padé approximation to obtain closed form solutions of linear and nonlinear partial differential equations. Some illustrative examples are given to demonstrate the activeness of the proposed technique. The obtained results ensure that this modified method is capable of solving a large number of linear and nonlinear PDEs that have wide application in science and engineering. It solves the drawbacks in the standard differential transform method. | ||
| کلیدواژهها | ||
| Differential transform method؛ Pade approximation؛ Laplace transform؛ PDEs | ||
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