SOLUTION OF NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH NONHOMOGENEOUS BOUNDARY CONDITIONS

Alkan S., Seçer A.

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

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2015
  • Journal Name: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.284-295
  • Keywords: 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 Technical University Affiliated: Yes

Abstract

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.