Geodesic
Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients—convergence analysis
A. Poliński1
1 Department of Differential Equations Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 88 (2006) no. 2, pp. 97-111

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap88-2-1
Keywords: study initial value problem parabolic equations time dependent coefficients nonlinear nonlocal right hand sides nonlocal terms appear unknown function its gradient analyze convergence explicit finite difference schemes means discrete fundamental solutions

A. Poliński 1

1 Department of Differential Equations Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland 
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A. Poliński. Explicit difference schemes for nonlinear
 differential functional parabolic equations
 with time dependent coefficients—convergence analysis. Annales Polonici Mathematici, Tome 88 (2006) no. 2, pp. 97-111. doi: 10.4064/ap88-2-1

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