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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 11, Page 1842 (Mi zvmmf11156)

This article is cited in 2 papers

General numerical methods

Numerical study of a singularly perturbed two parameter problems on a modified Bakhvalov mesh

P. Pramod Chakravarthy, Meenakshi Shivhare

Department Mathematics, Visvesvaraya National Institute of Technology

Abstract: In this article, we consider a two parameter singular perturbation problem (TPSPP) and the numerical solution is obtained by using tension spline method on a layer adapted Bakhvalov type mesh. The method is analyzed for convergence. Numerical results are presented to support the theory.

Key words: tension spline, singular perturbation, Bakhvalov-type mesh, two-parameter problems.

UDC: 519.63

Received: 12.12.2019
Revised: 16.01.2020
Accepted: 07.07.2020

DOI: 10.31857/S0044466920110113


 English version:
Computational Mathematics and Mathematical Physics, 2020, 60:11, 1778–1786

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© Steklov Math. Inst. of RAS, 2024