2 nd International Conference on Analysis and its Applications, Kırşehir, Türkiye, 12 - 15 Temmuz 2016, ss.201
: In this work, we present a hybridizable discontinuous Galerkin
(HDG) method for solving a class of fractional boundary value problem
that involves Caputo derivative withorder
, 0. One of the main
properties of HDG methods is that they are efficiently implementable since
it is possible to eliminate all internal degrees of freedeom and obtain a
global linear system that only involves unknowns at the element
interfaces. Since the global matrix in the linear system is tridiagonal,
symmetric and positive definite, the method gives effective and
convergent results in the ordinary and partial differential equations. Also,
an appropriate choice of the stability parameter has a very important effect
on the convergence of the obtained system. Therefore, the HDG method
is investigated for the mentioned fractional boundary value problems. We
display the results of a series of numerical experiments to ascertain by
using MATLAB programme.