A collocation-shooting method for solving fractional boundary value problems

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87 Citations (Scopus)

Abstract

In this paper, we discuss the numerical solution of special class of fractional boundary value problems of order 2. The method of solution is based on a conjugating collocation and spline analysis combined with shooting method. A theoretical analysis about the existence and uniqueness of exact solution for the present class is proven. Two examples involving Bagley-Torvik equation subject to boundary conditions are also presented; numerical results illustrate the accuracy of the present scheme.

Original languageEnglish
Pages (from-to)3814-3822
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number12
DOIs
Publication statusPublished - Dec 2010

Keywords

  • Bagley-Torvik equation
  • Collocation method
  • Shooting method

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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