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Title: Adaptive Grid for Parameterized Singular Perturbation Problem
Authors: Shakti, D
Mohapatra, J
Keywords: Singular perturbation
Parameterized problem
Boundary layer
Adaptive mesh
Uniform convergence
Issue Date: Nov-2014
Citation: National conference on Analysis and Applied Mathematics, Dept of Mathematics, NIT Trichy , Nov 27-28 2014.
Abstract: A quasilinear first order singularly perturbed boundary value problem depending on a parameter is considered. The problem is solved by a backward Euler fnitediference operator on an appropriate non-uniform mesh constructed adaptively by equidistributing a monitor function based on the solution. An error bound in the maximum norm is established theoretically whose error constants are shown to be independent of the singular perturbation parameter. The method is first-order convergent. Numerical experiment illustrates in practice the result of convergence proved theoretically.
Description: Copyright belongs to proceeding publisher
Appears in Collections:Conference Papers

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