A Fitted Mesh Cubic Spline in Tension Method for Singularly Perturbed Problems with Two Parameters

Tariku Birabasa Mekonnen, Gemechis File Duressa and Niansheng Tang

International Journal of Mathematics and Mathematical Sciences, 2022, vol. 2022, 1-11

Abstract: A numerical treatment via a difference scheme constructed by the Crank–Nicolson scheme for the time derivative and cubic spline in tension for the spatial derivatives on a layer resolving nonuniform Bakhvalov-type mesh for a singularly perturbed unsteady-state initial-boundary-value problem with two small parameters is presented. Error analysis of the constructed scheme is discussed and shown to be parameter-uniformly convergent with second-order convergence. Numerical experimentation is taken to confirm the theoretical findings.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5410754

DOI: 10.1155/2022/5410754

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