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

Karaaslan M. F.

Journal of Engineering Technology and Applied Sciences, cilt.2, sa.3, ss.121-129, 2017 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 3
  • Basım Tarihi: 2017
  • Dergi Adı: Journal of Engineering Technology and Applied Sciences
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.121-129
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This paper is concerned with numerically solving of a nonlocal fractional boundary value problem (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.