Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods

Authors

Ozlem Ersoy Hepson, Mathematics-Computer Department, Eskis¸ehir Osmangazi University, Eskis¸ehir, TurkeyFollow
Idris Dag, Computer Engineering Department, Eskis¸ehir Osmangazi University, Eskis¸ehir, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

Numerical solutions of singularly perturbed problems(SPP) are given by using variants of finite elements method. Both Galerkin and subdomain Galerkin methods based on quadratic B-spline functions are applied to the SPP over the geometrically graded mesh. Results of some text problems are compared with analytical solutions of the SPP.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100303

Recommended Citation

Ersoy Hepson, Ozlem and Dag, Idris (2018) "Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods," Applied Mathematics & Information Sciences: Vol. 12: Iss. 3, Article 3.
DOI: http://dx.doi.org/10.18576/journal/100303
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss3/3