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- W1988682723 abstract "In this paper, a numerical method is presented to solve singularly-perturbed two-point boundary-value problems for second-order ordinary differential equations with a discontinuous source term. First, an asymptotic expansion approximation of the solution of the boundary-value problem is constructed using the basic ideas of the well-known WKB perturbation method. Then, some initial-value problems and terminal-value problems are constructed such that their solutions are the terms of this asymptotic expansion. These initial-value problems and terminal-value problems are singularly-perturbed problems and therefore fitted mesh method (Shishkin mesh) are used to solve these problems. Necessary error estimates are derived and examples are provided to illustrate the method." @default.
- W1988682723 created "2016-06-24" @default.
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- W1988682723 date "2007-04-26" @default.
- W1988682723 modified "2023-10-18" @default.
- W1988682723 title "Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous Source Term" @default.
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- W1988682723 doi "https://doi.org/10.1007/s10957-007-9167-3" @default.
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