✦ LIBER ✦

Collocation-approximation methods for nonlinear singular integrodifferential equations in Banach spaces

✍ Scribed by E.G. Ladopoulos

Book ID: 104338386
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 432 KB
Volume: 79
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(96)00174-4

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✦ Synopsis

A new approximation method is proposed for the numerical evaluation of the nonlinear singular integrodifferential equations defined in Banach spaces. The collocation approximation method is therefore applied to the numerical solution of such type of nonlinear equations, by using a system of Chebyshev functions.

Through the application of the collocation method is investigated the existence of solutions of the system of non-linear equations used for the approximation of the nonlinear singular integrodifferential equations, which are defined in a complete normed space, i.e., a Banach space.

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