scholarly journals The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions

2020 ◽  
Vol 28 (3) ◽  
pp. 1161-1189
Author(s):  
Yin Yang ◽  
◽  
Sujuan Kang ◽  
Vasiliy I. Vasil'ev ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Spectral Collocation Method ◽  
Smooth Solutions ◽  
Spectral Collocation ◽  
Jacobi Spectral Collocation Method

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

2019 ◽  
Vol 24 (3) ◽  
pp. 332-352 ◽  
Author(s):  
Eid H. Doha ◽  
Mohamed A. Abdelkawy ◽  
Ahmed Z.M. Amin ◽  
Dumitru Baleanu
Keyword(s):  
Differential Equations ◽  
Collocation Method ◽  
Jacobi Polynomials ◽  
Spectral Collocation Method ◽  
Spectral Collocation ◽  
Numerical Examples ◽  
Shifted Jacobi Polynomials ◽  
Present Technique ◽  
Jacobi Spectral Collocation Method ◽  
The Given

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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