Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh

Authors : A.s.v. Ravi KANTH, P. Murali Mohan KUMAR

Pages : 221-235

Doi:10.15672/hujms.546981

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Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :This article presents a hybrid numerical scheme for a class of linear and nonlinear singularly perturbed convection delay problems on piecewise uniform. The proposed hybrid numerical scheme comprises with the tension spline scheme in the boundary layer region and the midpoint approximation in the outer region on piecewise uniform mesh. Error analysis of the proposed scheme is discussed and is shown $\varepsilon$-uniformly convergent. Numerical experiments for linear and nonlinear are performed to confirm the theoretical analysis.
Keywords : Nonlinear delay problems, differential difference equations, singular perturbation problems, tension spline, Shishkin mesh