An efficient algorithm for solving Troesch’s problem

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摘要

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.

论文关键词:Troesch’s problem,Homotopy perturbation technique,Taylor expansion,Variational iteration method,Adomian decomposition method

论文评审过程:Available online 17 January 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2006.11.161