Using Reproducing Kernel for Solving a Class of Fractional Order Integral Differential Equations. (11th March 2020)

• Record Type: Journal Article
• Authors: Li, Zhiyuan; Wang, Meichun; Wang, Yulan; Pang, Jing
• Other Names: Chen Zengtao Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2020(2020)
• Publication Date: 2020-03-11
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2020/8101843
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : 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.