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Efficient Legendre pseudospectral method for solving integral and integro-differential equations

✍ Scribed by M. El-Kady; M. Biomy

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 333 KB
Volume: 15
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.07.012

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✦ Synopsis

This paper introduces a new approach to obtain the integration matrices using Legendre power expansion P n ðxÞ. This method generates approximations to the lower order derivatives of the function through successive integrations of the Legendre polynomials to the highest order derivatives. This method is used to solve integral and integro-differential equations. The advantages of the suggested integration matrices emerged through comparisons with other ones.

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