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

• Datum: 1994
• Hauptverfasser: Kamont, Z., Камонт, З.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5651
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider initial boundary-value problems of Dirichlet type for nonlinear equations. We give sufficient conditions for the 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 func...