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

Abstract

This paper is concerned with numerically solving of a nonlocal fractional boundary value prob-lem (NFBVP) by hybridizable discontinuous Galerkin method (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.