Exact Solutions of Some Partial Differential Equations Using the Modified Differential Transform Method
| Autor: | Ozan Özkan, Ümmügülsüm Cansu-Kurt |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Partial differential equation
Laplace transform General Mathematics Science and engineering General Physics and Astronomy 020206 networking & telecommunications Modified method 02 engineering and technology General Chemistry 01 natural sciences 010101 applied mathematics Differential transform method Nonlinear system ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering General Earth and Planetary Sciences Applied mathematics Padé approximant 0101 mathematics General Agricultural and Biological Sciences Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 42:89-96 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-018-0490-3 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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