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A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations
Joint Authors
Gao, Er
Song, Songhe
Zhang, Xinjian
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Gao, Er& Song, Songhe& Zhang, Xinjian. 2012. A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1001511
Modern Language Association (MLA)
Gao, Er…[et al.]. A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1001511
American Medical Association (AMA)
Gao, Er& Song, Songhe& Zhang, Xinjian. A Numerical Algorithm for Solving a Four-Point Nonlinear Fractional Integro-Differential Equations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1001511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001511