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Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations
Joint Authors
Wang, Yulan
Wang, Meichun
Pang, Jing
Li, Zhiyuan
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is devoted to the numerical scheme for a class of fractional order integrodifferential equations by reproducing kernel interpolation collocation method with reproducing kernel function in the form of Jacobi polynomials.
Reproducing kernel function in the form of Jacobi polynomials is established for the first time.
It is implemented as a reproducing kernel method.
The numerical solutions obtained by taking the different values of parameter are compared; Schmidt orthogonalization process is avoided.
It is proved that this method is feasible and accurate through some numerical examples.
American Psychological Association (APA)
Li, Zhiyuan& Wang, Meichun& Wang, Yulan& Pang, Jing. 2020. Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127512
Modern Language Association (MLA)
Li, Zhiyuan…[et al.]. Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations. Advances in Mathematical Physics No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1127512
American Medical Association (AMA)
Li, Zhiyuan& Wang, Meichun& Wang, Yulan& Pang, Jing. Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1127512
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127512