The Laplace Optimized Decomposition Method for Solving Systems of Partial Differential Equations of Fractional Order

被引：0
|
作者：
Beghami W. [1 ]
Maayah B. [1 ]
Bushnaq S. [2 ]
Abu Arqub O. [3 ]
机构：
[1] Department of Mathematics, Faculty of Science, The University of Jordan, Amman
[2] Department of Basic Sciences, Princess Sumaya University for Technology, Amman
[3] Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 2期
关键词：
Caputo fractional derivative; linear approximation; Laplace optimized decomposition method (LODM); Nonlinear system of (FPDEs);
D O I：
10.1007/s40819-022-01256-x
中图分类号：
学科分类号：
摘要：
In this paper, a new hybrid technique Laplace optimized decomposition method (LODM) had been proposed to construct the approximate solution of the nonlinear system of fractional partial differential equations (FPDEs) for the fractional derivative in the Caputo sense. LODM is a combination of the Laplace transform and optimized decomposition method. This technique is based on the linear approximation of the nonlinear system of FPDEs. Numerical examples are presented to show the accuracy and reliability of LODM on a class of nonlinear problems. Moreover, the results illustrate a strong agreement between the approximate and the exact solutions. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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