Hybrid Difference Scheme for Singularly Perturbed Convection Diffusion Boundary Turning Point Problems with Discontinuous Source Term

Autor:	G. Janani Jayalakshmi, A. Tamilselvan
Rok vydání:	2019
Předmět:	Computational Mathematics Applied Mathematics Scheme (mathematics) Mathematical analysis Piecewise Finite difference Boundary (topology) Order (group theory) Point (geometry) Convection–diffusion equation Mathematics Term (time)
Zdroj:	International Journal of Applied and Computational Mathematics. 5
ISSN:	2199-5796 2349-5103
Popis:	A singularly perturbed convection diffusion equation with boundary turning point and weak interior layer is discussed in this paper. A higher order method is constructed for solving this problem which consists of central difference scheme and the mid point difference scheme on a piecewise uniform Shishkin mesh. We have proved that this method is of almost second order convergent. Numerical results are given which validate the analytical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8ea99f87db370135ee0497461f36b7a9 https://doi.org/10.1007/s40819-019-0676-1 Zobrazit plný text záznamu Full text from SpringerLink