Finite-difference approximation of first-order partial differential-functional equations

• Published in: Український математичний журнал
• Date: 1994
• Main Author: Kamont, Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1994
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156730
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Finite-difference approximation of first-order partial differential-functional equations / Z. Kamont // Український математичний журнал. — 1994. — Т. 46, № 8. — С. 985–996. — Бібліогр.: 18 назв. — англ.

We consider initial-boundary-value problems of the Dirichlet type for nonlinear equations. We give sufficient conditions of convergence of a general class of one-step difference methods. We assume that the right-hand side of the equation satisfies an estimate of Perron type with respect to the funct...