Shior, M. M. and Agbata, B.C. and Karim, U. and Salvatierra, Marcos and Yahaya, D.J. and Abraham, S. (2024) Approximate Solution of Fractional Order of Partial Differential Equations Using Laplace-Adomian Decomposition Method in MATLAB. International Journal of Mathematics and Statistics Studies, 12 (3). pp. 61-70. ISSN 2053-2229 (Print), 2053-2210 (Online)
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Abstract
This article presents the application of the Laplace-Adomian Decomposition Method (LADM) for solving partial differential equations (PDEs) in the context of heat conduction and wave propagation. The LADM combines Laplace transform and Adomian decomposition to approximate solutions to PDEs efficiently in MATLAB. The procedure involves transforming the PDE into simpler differential equations, which are then solved iteratively using the Adomian decomposition method. The advantages of LADM include simplicity, flexibility, and applicability to a wide range of PDEs. We demonstrate the effectiveness of LADM through numerical experiments solving the heat equation and wave equation using MATLAB. The results show good agreement with analytical solutions and highlight the efficiency and accuracy of LADM for solving PDEs.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Depositing User: | Professor Mark T. Owen |
| Date Deposited: | 01 May 2024 12:51 |
| Last Modified: | 01 May 2024 12:51 |
| URI: | https://tudr.org/id/eprint/2928 |
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