A Hybridizable discontinuous Galerkin method for a class of fractional boundary value problem


Karaaslan M. F. , Kurulay M.

2 nd International Conference on Analysis and its Applications, Kırşehir, Türkiye, 12 - 15 Temmuz 2016, ss.201

  • Basıldığı Şehir: Kırşehir
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.201

Özet

: 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.