Domain decomposition in boundary layers for singularly perturbed problems
Applied Numerical Mathematics - Auckl numerical ordinary differential equations (ANODE 98 workshop)
High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems
NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
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A computational method for self-adjoint singular perturbation problems using quintic spline
Computers & Mathematics with Applications
Parallel implementation of a spline based computational approach for singular perturbation problems
HiPC'06 Proceedings of the 13th international conference on High Performance Computing
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In this paper, we considered singularly perturbed self–adjoint boundary-value problems and proposed a computational technique based on spline scheme, which is also suitable for parallel computing. The whole domain is divided into three non-overlapping subdomains and corresponding subproblems are obtained by using zeroth order approximations of the solution at boundaries of these subproblems. The subproblems corresponding to boundary layer regions are solved using adaptive spline scheme. Numerical example is provided to show the efficiency and accuracy. Subject Classification: AMS 65L10 CR G1.7.