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Solutions of a class of singular second-order IVPs by homotopy-perturbation method. (English) Zbl 1203.65124
Summary: Solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

##### MSC:
 65L99 Numerical methods for ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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