A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations. (5th September 2012)

• Record Type: Journal Article
• Authors: Gao, Er; Song, Songhe; Zhang, Xinjian
• Other Names: Nguyen-Xuan Hung Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-09-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/329575
• Languages: English
• ISSNs: 1024-123X

Abstract

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.