Baransel Gunes, Mutlu Demirbas
abstract:
In this paper, a discrete scheme is presented for solving singularly perturbed
convection-diffusion equations. The stability and convergence of the proposed
scheme are analyzed in the discrete maximum norm. Error estimates are carried
out for both Bakhvalov (B-mesh) and Shishkin-type (S-mesh) meshes.
Three numerical examples are solved to authenticate the theoretical findings.
Mathematics Subject Classification: 65L10, 65L11, 65L12
Key words and phrases: Bakhvalov mesh, boundary value problem, convection-diffusion equation, difference scheme, error estimate, Shishkin mesh, singular perturbation