Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line

dc.contributor.authorSoufiane Benyoussef
dc.date.accessioned2021-09-05T10:19:33Z
dc.date.available2021-09-05T10:19:33Z
dc.date.issued2021
dc.description.abstractIn 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.urihttp://dspace.univ-msila.dz:8080//xmlui/handle/123456789/25301
dc.publisherUniversité de M'silaen_US
dc.subjectFredholm integro-differential equations Mapped Legendre Half-line Function approximationen_US
dc.titleEfficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-lineen_US
dc.typeArticleen_US

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