Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629772 | Applied Mathematics and Computation | 2013 | 16 Pages |
Abstract
In this paper, we use the systematic Adomian decomposition method to handle the integral form of the Lane–Emden equations with initial values and boundary conditions. The Volterra integral form of the Lane–Emden equation overcomes the singular behavior at the origin x=0x=0. We confirm our belief that the Adomian decomposition method provides efficient algorithm for analytic approximate solutions of the equation. Our results are supported by investigating several numerical examples that include initial value problems and boundary value problems as well. Finally we consider the modified decomposition method of Rach, Adomian and Meyers for the Volterra integral form.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Abdul-Majid Wazwaz, Randolph Rach, Jun-Sheng Duan,