Finding exact solutions of nonlinear PDEs using the natural decomposition method |
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Authors: | Mahmoud Rawashdeh Shehu Maitama |
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Institution: | Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan |
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Abstract: | In this work, we implement the natural decomposition method (NDM) to solve nonlinear partial differential equations. We apply the NDM to obtain exact solutions for three applications of nonlinear partial differential equations. The new method is a combination of the natural transform method and the Adomian decomposition method. We prove some of the properties that are related to the natural transform method. The results are compared with existing solutions obtained by other methods, and one can conclude that the NDM is easy to use and efficient. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | natural transform Sumudu transform Laplace transform Adomian decomposition method subclass 35Q61 44A10 44A15 44A20 44A30 44A35 81V10 |
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