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- W2034136479 abstract "A new computational method for solving the second-order nonlinear singularly perturbed boundary value problems (SPBVPs) is provided in this paper. In order to overcome a highly singular behavior very near to the boundary as being not easy to treat by numerical method, we adopt a coordinate transformation from an x-domain to a t-domain via a rescaling technique, which can reduce the singularity within the boundary layer. Then, we construct a Lie-group shooting method (LGSM) to search a missing initial condition through the finding of a suitable value of a parameter r ∈ [0, 1]. Moreover, we can derive a closed-form formula to express the initial condition in terms of r, which can be determined properly by an accurate matching to the right-boundary condition. Numerical examples are examined, showing that the present approach is highly efficient and accurate." @default.
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- W2034136479 date "2012-04-01" @default.
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- W2034136479 title "The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems" @default.
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- W2034136479 doi "https://doi.org/10.1016/j.cnsns.2011.09.029" @default.
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