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CANSU KURT, Ummugulsum, OZKAN, Ozan. (1395). Exact solutions of some partial differential equations using the Modified Differential Transform Method. , (), -. doi: 10.22099/ijsts.2016.3673
Ummugulsum CANSU KURT; Ozan OZKAN. "Exact solutions of some partial differential equations using the Modified Differential Transform Method". , , , 1395, -. doi: 10.22099/ijsts.2016.3673
CANSU KURT, Ummugulsum, OZKAN, Ozan. (1395). 'Exact solutions of some partial differential equations using the Modified Differential Transform Method', , (), pp. -. doi: 10.22099/ijsts.2016.3673
CANSU KURT, Ummugulsum, OZKAN, Ozan. Exact solutions of some partial differential equations using the Modified Differential Transform Method. , 1395; (): -. doi: 10.22099/ijsts.2016.3673

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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