Exact Solutions of Some Partial Differential Equations Using the Modified Differential Transform Method

Date

2018-03-01

Author

Cansu Kurt, Ümmügülsüm
Ozkan, Ozan

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In this paper, we present the modification of the differential transform method by using Laplace transform and Pade 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.

Subject Keywords

Differential Transform Method, Pade Approximation, Laplace Transform, PDEs

URI

https://hdl.handle.net/11511/56362

Journal

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE

DOI

https://doi.org/10.1007/s40995-018-0490-3

Collections

Department of Mathematics and Science Education, Article

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Citation Formats

Ü. Cansu Kurt and O. Ozkan, “Exact Solutions of Some Partial Differential Equations Using the Modified Differential Transform Method,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, pp. 89–96, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56362.