Modified Sumudu Decomposition Method for Solving Lane-Emden-Fowler Type Systems-Reference-Cited by-同舟云学术

Modified Sumudu Decomposition Method for Solving Lane-Emden-Fowler Type Systems

Published:2021-09-07 Issue: Volume:20 Page:446-454
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Viriyapong Chokchai¹,Viriyapong Nongluk¹

Affiliation:

1. Mathematics and Applied Mathematics Research Unit Department of Mathematics, Faculty of Science, Mahasarakham University Maha Sarakham, 44150, THAILAND

Abstract

In this paper, the Sumudu decomposition method (SDM) is modified and applied to solve systems of singular equations of the Lane-Emden-Fowler type. The proposed method is based on the application of Sumudu transform and Adomian decomposition method. Some illustrative examples are given to demonstrate the efficiency of the proposed technique. The results show that the modified method is simple and effective

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference12 articles.

1. R. Singh, Analytical approach for computation of exact and analytic approximate solutions to the system of Lane-Emden-Fowler type equations arising in astrophysics, The European Physical Journal Plus, Vol.133, 2018, pp. 1-12.

2. Y.Q. Hasan and L.M. Zhu, Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equation, Surveys in Mathematics and its Applications, Vol.3, 2008, pp. 183-193.

3. Z. Šmadara, Modification of Adomian Decomposition Method for Certain Classes of Singular Differential Equations of the Second Order. Mathematical Models and Methods in Modern Science, 2011, pp. 112-117.

4. A.M. Wazwaz, R. Rach and J.S. Duan, The study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method, Mathematical Methods in the Applied Sciences, Vol.37, No.1, 2014, pp. 10- 19.

5. A.M. Wazwaz, The variational iteration method for solving systems of equations of EmdenFowler type, Internationnal Journal of Computer Mathematics, Vol.88, No.16, 2011, pp. 3406- 3415.

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