عنوان المقالة: An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method
أ.م.د. محمد غازي صبري الصافي | Assist. Prof. Dr. Mohammed Ghazi Sabri Al-Safiِِِ | 2787
Publication Type
Journal
Arabic Authors
محمد غازي صبري الصافي
English Authors
Mohammed G. S. Al_Safi
Abstract
The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.
Publication Date
9/13/2018
Publisher
Baghdad Science Journal
Volume No
15
Issue No
3
DOI
http://dx.doi.org/10.21123/bsj.2018.15.3.0344
Pages
344-351
External Link
https://www.iasj.net/iasj/download/09d1b33283bac376
Keywords
Collocation Method, Fractional derivative, Jacobi polynomial, Volterra-Fredholm integro-differential equations of fractional order.
رجوع