On Adomian Polynomials and its Applications to Lane-Emden Type of Equation

Authors

  • E. U Agom Department of Mathematics University of Calabar Calabar Nigeria
  • F. O Ogunfiditimi Department of Mathematics University of Abuja Abuja Nigeria
  • P. N Assi Department of Mathematics University of Calabar Calabar Nigeria

DOI:

https://doi.org/10.18488/journal.24.2017.61.13.21

Keywords:

Adomian polynomials, Adomian decomposition method, Lane-Emden

Abstract

In this paper, we generate the Adomian polynomial for major nonlinear terms which are mostly common in differential equations. And we applied it to Lane-Emden type of equations whose nonlinear terms are exponential functions. The result we obtained by modified Adomian decomposition method (ADM) gave a series solution which is the same as the Taylors series of the exact solution.

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Published

2017-04-20

Issue

Vol. 6 No. 1 (2017)

Section

Articles

How to Cite

On Adomian Polynomials and its Applications to Lane-Emden Type of Equation. (2017). International Journal of Mathematical Research, 6(1), 13-21. https://doi.org/10.18488/journal.24.2017.61.13.21