TITLE

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

AUTHOR(S)
Er Gao; Songhe Song; Xinjian Zhang
PUB. DATE
January 2012
SOURCE
Mathematical Problems in Engineering;2012, Vol. 2012, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
87029237

Tags: ALGORITHMS;  BOUNDARY value problems;  INTEGRO-differential equations;  APPROXIMATION theory;  KERNEL functions;  EQUATIONS

 

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