Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method
| Autor: | Mohammed K. A. Kaabar, Shailesh A. Bhanotar |
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| Rok vydání: | 2021 |
| Předmět: |
Partial differential equation
Article Subject Laplace transform Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Derivative Conformable matrix Nonlinear system ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION QA1-939 Applied mathematics Decomposition method (constraint satisfaction) Mathematics Analysis |
| Zdroj: | International Journal of Differential Equations, Vol 2021 (2021) |
| ISSN: | 1687-9651 1687-9643 |
| Popis: | In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the proposed algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative. |
| Databáze: | OpenAIRE |
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