A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations

نویسندگان

  • Er Gao
  • Songhe Song
  • Xinjian Zhang
چکیده

We provide a new algorithm for a four-point nonlocal boundary value problem of nonlinear integro-differential equations of fractional order q ∈ 1, 2 based on reproducing kernel space method. According to our work, the analytical solution of the equations is represented in the reproducing kernel space which we construct and so the n-term approximation. At the same time, the n-term approximation is proved to converge to the analytical solution. An illustrative example is also presented, which shows that the new algorithm is efficient and accurate.

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تاریخ انتشار 2014