Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method. (English) Zbl 1209.65120

Yıldırım, Ahmet; Öziş, Turgut

Phys. Lett., A 369, No. 1-2, 70-76 (2007).

Summary: A new scheme, deduced from He’s homotopy perturbation method, is presented for solving Lane-Emden type singular IVPs problem. The scheme is shown to be highly accurate, and only a few terms are required to obtain accurate computable solutions.

MSC:

65M99

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems

Keywords:

He’s homotopy perturbation method; singular IVPs; Lane-Emden equation

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