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Zbl 1191.65101
Chang, Shih-Hsiang
A variational iteration method for solving Troesch's problem. (English)
[J] J. Comput. Appl. Math. 234, No. 10, 3043-3047 (2010). ISSN 0377-0427

Summary: Troesch's problem is an inherently unstable two-point boundary value problem. A new and efficient algorithm based on the variational iteration method and variable transformation is proposed to solve Troesch's problem. The underlying idea of the method is to convert the hyperbolic-type nonlinearity in the problem into polynomial-type nonlinearities by variable transformation, and the variational iteration method is then directly used to solve this transformed problem. Only the second-order iterative solution is required to provide a highly accurate analytical solution as compared with those obtained by other analytical and numerical methods.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)

Keywords: Troesch's problem; variational iteration method; variable transformation

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