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- W3015222012 abstract "In this paper, an extension of the Legendre spectral collocation method has been proposed for the numerical solution of a class of linear Fredholm integro-differential equation on the half-line. The properties of mapped Legendre functions are first presented. These properties together with the Legendre–Gauss points are then utilized to reform the Fredholm integro-differential equation in semi-infinite interval into a singular equation in finite interval and to reduce it to the solution of a simple matrix equation. Besides, in order to show the efficiency and accuracy of the proposed method, some numerical examples are considered and solved through a survey of three approaches, namely: Exponential, rational and logarithmic Legendre functions collocation methods. Furthermore, a comparison of the results, shows that using exponential functions, leads to more accurate results and faster convergence." @default.
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- W3015222012 date "2020-10-01" @default.
- W3015222012 modified "2023-10-18" @default.
- W3015222012 title "Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line" @default.
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- W3015222012 doi "https://doi.org/10.1016/j.cam.2020.112894" @default.
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