Geodesic
Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis
Commentationes Mathematicae, Tome 45 (2005) no. 2, pp. 205-217.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We study the initial-value problem for parabolic equations with mixed partial derivatives and constant 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 : 10.14708/cm.v45i2.5200
Mots-clés : Finite difference, stability, parabolic, nonlocal 
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Artur Poliński. Explicit Difference Schemes for Nonlinear Differential Functional Parabolic Equations with Mixed Derivatives - Convergence Analysis. Commentationes Mathematicae, Tome 45 (2005) no. 2, pp.  205-217. doi : 10.14708/cm.v45i2.5200. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5200/

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