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

E. U Agom (), F. O Ogunfiditimi () and P. N Assi ()

International Journal of Mathematical Research, 2017, vol. 6, issue 1, 13-21

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.

Keywords: Adomian polynomials; Adomian decomposition method; Lane-Emden (search for similar items in EconPapers)
Date: 2017
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