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

Er Gao, Songhe Song and Xinjian Zhang

Mathematical Problems in Engineering, 2012, vol. 2012, 1-11

Abstract:

We provide a new algorithm for a four-point nonlocal boundary value problem of nonlinear integro-differential equations of fractional order 𠑞 ∈ ( 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:329575

DOI: 10.1155/2012/329575

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