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Generalized implicit Euler method for hyperbolic functional differential equations

โœ Scribed by Wojciech Czernous

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
219 KB
Volume
283
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

Nonlinear hyperbolic functional differential equations with initial boundary conditions are considered. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given (ยฉ 2010 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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