Department of Mathematics, Shahed University, Tehran, Iran
Abstract
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.
Mojahedfar, M., & Tari Marzabad, A. (2019). A numerical method for partial fractional Fredholm integro-differential equations. Computational Methods for Differential Equations, 7(2), 152-162.
MLA
Mansureh Mojahedfar; Abolfazl Tari Marzabad. "A numerical method for partial fractional Fredholm integro-differential equations". Computational Methods for Differential Equations, 7, 2, 2019, 152-162.
HARVARD
Mojahedfar, M., Tari Marzabad, A. (2019). 'A numerical method for partial fractional Fredholm integro-differential equations', Computational Methods for Differential Equations, 7(2), pp. 152-162.
VANCOUVER
Mojahedfar, M., Tari Marzabad, A. A numerical method for partial fractional Fredholm integro-differential equations. Computational Methods for Differential Equations, 2019; 7(2): 152-162.
)
