A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition


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Kudu M.

ADVANCES IN DIFFERENCE EQUATIONS, 2018 (SCI-Expanded) identifier identifier

Abstract

We consider a uniform finite difference method on a Bakhvalov mesh to solve a quasilinear first order parameterized singularly perturbed problem with integral boundary conditions. Uniform first order error estimates in the discrete maximum norm have been established. Numerical results that demonstrate the sharpness of our theoretical analysis are presented.