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Zbl 1122.65373
Feng, Xinlong; Mei, Liquan; He, Guoliang
An efficient algorithm for solving Troesch's problem. (English)
[J] Appl. Math. Comput. 189, No. 1, 500-507 (2007). ISSN 0096-3003

Summary: A new algorithm is presented for solving Troesch's problem. The numerical scheme based on the modified homotopy perturbation technique is deduced. Some numerical experiments are made. Compared with the variational iteration method and the Adomian decomposition method, the scheme is shown to be highly accurate, and only a few terms are required to obtain accurate computable solutions. Finally, the algorithm is applied to other problems.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE

Keywords: Troesch's problem; homotopy perturbation technique; Taylor expansion; variational iteration method; Adomian decomposition method; comparison of methods; algorithm; numerical experiment

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