Open AccessAn Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method
Author(s) -
Baghdad Science Journal
Publication year - 2018
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.15.3.344-351
Subject(s) - collocation method , mathematics , collocation (remote sensing) , algebraic equation , polynomial , jacobi polynomials , orthogonal collocation , order (exchange) , volterra integral equation , fractional calculus , differential equation , mathematical analysis , integral equation , orthogonal polynomials , ordinary differential equation , nonlinear system , computer science , physics , finance , quantum mechanics , machine learning , economics
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.