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A study on the systems of the Volterra integral forms of the Lane–Emden equations by the Adomian decomposition method
Author(s) -
Wazwaz AbdulMajid,
Rach Randolph,
Duan JunSheng
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2776
Subject(s) - adomian decomposition method , mathematics , volterra integral equation , decomposition , integral equation , volterra equations , decomposition method (queueing theory) , mathematical analysis , differential equation , nonlinear system , statistics , ecology , biology , physics , quantum mechanics
In this paper, we introduce systems of Volterra integral forms of the Lane–Emden equations. We use the systematic Adomian decomposition method to handle these systems of integral forms. The Volterra integral forms overcome the singular behavior at the origin x = 0. The Adomian decomposition method gives reliable algorithm for analytic approximate solutions of these systems. Our results are supported by investigating several numerical examples. Copyright © 2013 John Wiley & Sons, Ltd.