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On the numerical approximation of viscosity solutions for the differential-functional Cauchy problem (2012)

Springer

In: CALCOLO

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Publication Date: 2012-10-22

Description: We consider the Cauchy problem for first order differential-functional equations. We present finite difference schemes to approximate viscosity solutions of this problem. The functional dependence in the equation is of the Hale type. It contains, as a particular case, equation with a retarded and deviated argument, and differential-integral equation. Numerical examples to illustrate the theory are presented. Content Type Journal Article Pages 1-15 DOI 10.1007/s10092-012-0071-3 Authors Krzysztof A. Topolski, Institute of Mathematics, University of Gdaǹsk, Wit Stwosz 57, 80-952 Gdaǹsk, Poland Journal Calcolo Online ISSN 1126-5434 Print ISSN 0008-0624

Print ISSN: 0008-0624

Electronic ISSN: 1126-5434

Topics: Mathematics

Published by Springer

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