Numerical Solution of a Nonlocal Fractional Boundary Value Problem By HDG Method

Authors : Mehmet Fatih KARAASLAN

Pages : 121-129

Doi:10.30931/jetas.372850

View : 12 | Download : 10

Publication Date : 2017-12-30

Article Type : Research Paper

Abstract :This paper is concerned with numerically solving of a nonlocal fractional boundary value prob-lem insert ignore into journalissuearticles values(NFBVP); by hybridizable discontinuous Galerkin method insert ignore into journalissuearticles values(HDG);. The HDG methods have been successfully applied to ordinary or partial differential equations in an efficient way through a hybridization procedure. These methods reduce the globally coupled unknowns to approximations at the element boundaries. The stability parameter has to be suitably defined to guarantee the existence and uniqueness of the approximate solution. Some numerical examples are given to show the performance of the HDG method for NFBVP.
Keywords : Hybridizable discontinuous Galerkin methods, nonlocal fractional boundary value problem, stability parameter, hybridization