keywords: Sumudu transform, Homotopy perturbation method, Lane-Emden, initial value problems
This paper studied Sumudu Transform coupled with Homotopy Perturbation Method for solving Lane–Emden equations as singular initial value problems. Sumudu Transform with Homotopy Perturbation Method was applied to obtain the exact solutions of the linear and nonlinear singular initial value problems. Comparing this method with some other known method, all the problems considered proved that the Sumudu Transform Homotopy Perturbation Method are very powerful and highly effective in solving both linear and nonlinear singular initial value problems. Three examples were considered to demonstrate the applicability and effectiveness of this method.