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Title: Layer-Adapted Meshes for Parameterized Singular Perturbation Problem
Authors: Shakti, D
Mohapatra, J
Keywords: Parameterized problem
Boundary layer
Richardson extrapolation
Layer adapted mesh
Singular perturbation
Issue Date: 2015
Publisher: Elsevier
Citation: Procedia Engineering, 2015
Abstract: A nonlinear singularly perturbed boundary value problem depending on a parameter is considered. Two numerical methods are applied to solve this problem. First, we solve the problem using backward Euler finite di erence scheme on layer adapted meshes. Then, Richardson extrapolation technique is applied to improve the accuracy of the computed solution. Numerical experiment is carried out to validate the theoretical estimates.
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