Shahed University

A numerical method for partial fractional Fredholm integro-differential equations

Abolfazl Tari Marzabad | Mansureh Mojahedfar

Date :  2019/05/05
Publish in :    Computational Methods for Differential Equations

Keywords :

Abstract :
In this paper, an expansion method based on orthonormal polynomials is presented to nd the numerical solution of partial fractional Fredholm integro-di erential equa-tions (PFFIDEs). A PFFIDE is converted to a system of linear algebraic equations, which is solved for the expansion coecients of approximate solution based on or-thonormal polynomials. An estimation error is discussed and some illustrative exam-ples are given to demonstrate the validity and applicability of the proposed method.

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