Comparison of a higher order method and the simple upwind and non-monotone methods for singularly perturbed boundary value problems
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摘要
In this paper, we will present a new scheme for discretization of singularly perturbed boundary value problems based on finite difference methods. This method is a combination of simple upwind scheme and central difference method on a special non-uniform mesh (Shishkin mesh) for the space discretization. Numerical results show that the convergence of method is uniform with respect to singular perturbation parameter and has a higher order of convergence.
论文关键词:Singular perturbation,Shishkin mesh,Upwind methods,Uniform convergence
论文评审过程:Available online 21 June 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.04.007