Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line
dc.contributor.author | Soufiane Benyoussef | |
dc.date.accessioned | 2021-09-05T10:19:33Z | |
dc.date.available | 2021-09-05T10:19:33Z | |
dc.date.issued | 2021 | |
dc.description.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. | en_US |
dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/25301 | |
dc.publisher | Université de M'sila | en_US |
dc.subject | Fredholm integro-differential equations Mapped Legendre Half-line Function approximation | en_US |
dc.title | Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line | en_US |
dc.type | Article | en_US |