Legendre expansion method for the solution of the second-and fourth-order elliptic equations

This paper presents a formula expressing Legendre polynomials in terms of their derivatives and a formula expressing a Legendre polynomial integrated k-times in terms of Legendre polynomials. In view of these formulae, the second-and fourth-order elliptic equation were solved. Moreover, the suggested method is applicable for a wide area of differential equations. The present results are in satisfactory agreement with the exact solutions.

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Year of publication:	2002
Authors:	Elbarbary, Elsayed M.E.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 59.2002, 5, p. 389-399
Publisher:	Elsevier
Subject:	Legendre polynomials \| Spectral methods \| Helmholtz equation \| Biharmonic equations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749647