Optimal homotopy asymptotic method (OHAM) is proposed and applied to solve a class of singular initial value problems (IVPs), namely the Lane-Emden equation solved by means a Volterra integral equation. The main advantage of this approach consists in that it provides a convenient way to control the convergence of approximate solution in a very rigorous way. The solution obtained using the presented procedure is in a very good agreement with the exact solution, which proves that OHAM is very efficient and accurate.

Topics
Algebraic topology, Integral equations, Asymptotic analysis, Partial differential equations, Public policy and governance
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© 2012 American Institute of Physics.
2012
American Institute of Physics
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