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Zbl 1068.74618
He, Jihuan
A coupling method of a homotopy technique and a perturbation technique for nonlinear problems.
(English)
[J] Int. J. Non-Linear Mech. 35, No. 1, 37-43 (2000). ISSN 0020-7462

Summary: A coupling method of a homotopy technique and a perturbation technique is proposed to solve nonlinear problems. In contrast to the traditional perturbation methods, the proposed method does not require a small parameter in the equation. In this method, according to the homotopy technique, a homotopy with an imbedding parameter $p\in[0,1]$ is constructed, and the imbedding parameter is considered as a "small parameter". So the proposed method can take full advantage of the traditional perturbation methods. Some examples are given. The results reveal that the new method is very effective and simple.
MSC 2000:
*74S30 Other numerical methods
74G10 Analytic approximation of solutions
74H10 Analytic approximation of solutions

Cited in: Zbl 1089.65072

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