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

Year 2020, Volume: 49 Issue: 1, 221 - 235, 06.02.2020

A.s.v. Ravi Kanth P. Murali Mohan Kumar

https://doi.org/10.15672/hujms.546981

Cited By: 4

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

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