A SDFEM for system of two singularly perturbed problems of convection-diffusion type with discontinuous source term

04/08/2021

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by   A. Ramesh Babu, et al.

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We consider a system of two singularly perturbed Boundary Value Problems (BVPs) of convection-diffusion type with discontinuous source terms and a small positive parameter multiplying the highest derivatives. Then their solutions exhibit boundary layers as well as weak interior layers. A numerical method based on finite element method (Shishkin and Bakhvalov-Shishkin meshes) is presented. We derive an error estimate of order O(N^-1ln^3/2N) in the energy norm with respect to the perturbation parameter. Numerical experiments are also presented to support our theoretical results.