Legendre spectral method for solving integral and integro-differential equations

A new spectral approximation of an integral based on Legendre approximation at the zeros of the first term of the residual is presented. The method is used to solve integral and integro-differential equations. The method generates approximations to the lower order derivatives of the function through...

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Veröffentlicht in:	International journal of computer mathematics 2000-01, Vol.75 (2), p.187-203
Hauptverfasser:	El-Hawary, H.M., Salim, M.S., Hussein, H.S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology G.1.9 Integral equations Integral equations, integral transforms Integro-differential equations Legendre spectral method Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use
Online-Zugang:	Volltext
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