SOLUTION OF NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH NONHOMOGENEOUS BOUNDARY CONDITIONS

Alkan S., Seçer A.

APPLIED AND COMPUTATIONAL MATHEMATICS, cilt.14, ss.284-295, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14
  • Basım Tarihi: 2015
  • Dergi Adı: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.284-295
  • Anahtar Kelimeler: Nonlinear Boundary Value Problems, Sinc-Collocation Method, Caputo Derivative, Nonhomogeneous Boundary Conditions, SINC-COLLOCATION METHOD, ADOMIAN DECOMPOSITION METHOD, HOMOTOPY PERTURBATION METHOD, KDV-BURGERS EQUATION, DIFFERENTIAL-EQUATIONS, GALERKIN METHOD, NUMERICAL-SOLUTION, ORDER
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, as an original contribution to literature, sinc-collocation method is firstly presented to solve the nonlinear fractional boundary value problem with nonhomogeneous conditions. Obtained results are given as two new theorems. To illustrate the efficiency and robustness of the introduced method some numerical examples are presented.