A numerical method for partial fractional Fredholm integro-differential equations

Abolfazl Tari Marzabad | Mansureh Mojahedfar

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URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=116898
Date :  2019/05/05
Publish in :    Computational Methods for Differential Equations


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Abstract :

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In this paper, an expansion method based on orthonormal polynomials is presented to nd the numerical solution of partial fractional Fredholm integro-dierential 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.