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A numerical method for partial fractional Fredholm integro-differential equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 7، شماره 2، تیر 2019، صفحه 152-162 اصل مقاله (439.55 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mansureh Mojahedfar؛ Abolfazl Tari Marzabad* | ||
| Department of Mathematics, Shahed University, Tehran, Iran | ||
| چکیده | ||
| In this paper, an expansion method based on orthonormal polynomials is presented to find the numerical solution of partial fractional Fredholm integro-differential equations (PFFIDEs). A PFFIDE is converted to a system of linear algebraic equations, which is solved for the expansion coefficients of approximate solution based on orthonormal polynomials. An estimation error is discussed and some illustrative examples are given to demonstrate the validity and applicability of the proposed method. | ||
| کلیدواژهها | ||
| Partial integro-differential equations؛ Fractional operators؛ Expansion method | ||
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