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Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method

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  • Jianhua Hou
  • Beibo Qin
  • Changqing Yang

Abstract

A numerical method to solve nonlinear Fredholm integral equations of second kind is presented in this work. The method is based upon hybrid function approximate. The properties of hybrid of block-pulse functions and Taylor series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of algebraic equations. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.

Suggested Citation

  • Jianhua Hou & Beibo Qin & Changqing Yang, 2012. "Numerical Solution of Nonlinear Fredholm Integrodifferential Equations of Fractional Order by Using Hybrid Functions and the Collocation Method," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, April.
    • Handle: RePEc:hin:jnljam:687030
    DOI: 10.1155/2012/687030
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