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THE ESTIMATES OF ACCURACY OF DIFFERENCE SCHEMES FOR THE NONLINEAR HEAT EQUATION WITH WEAK SOLUTION
Author(s) -
Boško S. Jovanović,
П. П. Матус,
V. S. Shchehlik
Publication year - 2000
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2000.9637131
Subject(s) - mathematics , nonlinear system , heat equation , convergence (economics) , thermal conduction , mathematical analysis , boundary value problem , finite difference scheme , finite difference method , finite difference , scheme (mathematics) , physics , thermodynamics , quantum mechanics , economics , economic growth
In this paper we study the convergence of explicit and implicit finite difference scheme for the first initial‐boundary value problem for one dimensional quasilinear heat‐conduction equation with “unbounded nonlinearity”.

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