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

DOI:

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

Published:

2016-02-26

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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