A modified Adomian decomposition method for singular initial value Emden-Fowler type equations

Authors

  • Jafar Biazar

    Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

  • Kamyar Hosseini

    Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

Received date: December 19, 2015

Accepted date: February 16, 2016

Published date: February 26, 2016

DOI:

https://doi.org/10.14419/ijamr.v5i1.5666

Abstract

Traditional Adomian decomposition method (ADM) usually fails to solve singular initial value problems of Emden-Fowler type. To overcome this shortcoming, a new and effective modification of ADM that only requires calculation of the first Adomian polynomial is formally proposed in the present paper. Three singular initial value problems of Emden-Fowler type with alpha=1, 2, and >2, have been selected to demonstrate the efficiency of the method.    

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How to Cite

Biazar, J., & Hosseini, K. (2016). A modified Adomian decomposition method for singular initial value Emden-Fowler type equations. International Journal of Applied Mathematical Research, 5(1), 69-72. https://doi.org/10.14419/ijamr.v5i1.5666

Received date: December 19, 2015

Accepted date: February 16, 2016

Published date: February 26, 2016