Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis

• Autorzy: A. Poliński
• Języki publikacji: EN

Abstrakty

EN

We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.

Kategorie tematyczne

• 65M06: Finite difference methods
• 35K15: Initial value problems for second-order parabolic equations
• 35R10: Partial functional-differential equations
• 65M12: Stability and convergence of numerical methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 2
• Strony: 97-111

Daty

wydano

2006

Twórcy

autor

A. Poliński

• Department of Differential Equations, Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap88-2-1