A Method for the Solution of Coupled System of Emden–Fowler–Type Equations

Aishah A. Alsulami; Mariam AL-Mazmumy; Huda O. Bakodah; Nawal Alzaid

doi:10.3390/sym14050843

journal article Open Access Apr 19, 2022

A Method for the Solution of Coupled System of Emden–Fowler–Type Equations

Aishah A. Alsulami Mariam AL-Mazmumy

Huda O. Bakodah Nawal Alzaid

Symmetry Vol. 14 No. 5 pp. 843 · MDPI AG

View at Publisher Save 10.3390/sym14050843

Abstract

A dependable semi-analytical method via the application of a modified Adomian Decomposition Method (ADM) to tackle the coupled system of Emden–Fowler-type equations has been proposed. More precisely, an effective differential operator together with its corresponding inverse is successfully constructed. Moreover, this operator is able to navigate to the closed-form solution easily without resorting to converting the coupled system to a system of Volterra integral equations; as in the case of a well-known reference in the literature. Lastly, the effectiveness of the method is demonstrated on some coupled systems of the governing model, and a speedier convergence rate was noted.

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Cited By

8

Modified Adomian Method through Efficient Inverse Integral Operators to Solve Nonlinear Initial-Value Problems for Ordinary Differential Equations

Mariam AL-Mazmumy, Aishah A. Alsulami · 2022

Axioms

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31

References

Details

Published: Apr 19, 2022
Vol/Issue: 14(5)
Pages: 843
License: View

Authors

A

Aishah A. Alsulami

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 80327, Saudi Arabia

M

Mariam AL-Mazmumy

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 80327, Saudi Arabia

H

Huda O. Bakodah

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 80327, Saudi Arabia

N

Nawal Alzaid

Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 80327, Saudi Arabia

Cite This Article

Aishah A. Alsulami, Mariam AL-Mazmumy, Huda O. Bakodah, et al. (2022). A Method for the Solution of Coupled System of Emden–Fowler–Type Equations. Symmetry, 14(5), 843. https://doi.org/10.3390/sym14050843

A Method for the Solution of Coupled System of Emden–Fowler–Type Equations

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