A variational iteration method for solving Troesch’s problem |
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Authors: | Shih-Hsiang Chang |
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Affiliation: | Department of Mechanical Engineering, Far East University, Tainan 744, Taiwan |
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Abstract: | 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. |
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Keywords: | Troesch&rsquo s problem Variational iteration method Variable transformation |
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