Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations | Zendy

E. H. Doha | Zendy; M. A. Abdelkawy | Zendy; A. Z. Amin | Zendy; Dumitru Băleanu | Zendy

Open Access

Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations

Author(s) -

E. H. Doha,

M. A. Abdelkawy,

A. Z. Amin,

Dumitru Băleanu

Publication year - 2019

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2019.3.2

Subject(s) - collocation (remote sensing) , correctness , collocation method , convergence (economics) , jacobi polynomials , differential equation , orthogonal collocation , spectral method , mathematics , numerical analysis , integro differential equation , jacobi method , computer science , mathematical analysis , orthogonal polynomials , algorithm , ordinary differential equation , first order partial differential equation , machine learning , economic growth , economics

This article addresses the solution of multi-dimensional integro-differential equations (IDEs) by means of the spectral collocation method and taking the advantage of the properties of shifted Jacobi polynomials. The applicability and accuracy of the present technique have been examined by the given numerical examples in this paper. By means of these numerical examples, we ensure that the present technique is simple and very accurate. Furthermore, an error analysis is performed to verify the correctness and feasibility of the proposed method when solving IDE.

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