Numerical Blow-up for A Heat Equation with Nonlinear Boundary Conditions

Autor:	Kidjegbo Augustin Toure, Brou Jean-Claude Koua, Kouame Beranger Edja
Rok vydání:	2018
Předmět:	Work (thermodynamics) Approximations of π Ordinary differential equation Zero (complex analysis) Applied mathematics Heat equation Point (geometry) Space (mathematics) Mathematics Variable (mathematics)
Zdroj:	Journal of Mathematics Research. 10:119
ISSN:	1916-9809 1916-9795
Popis:	We study numerical approximations of solutions of a heat equation with nonlinear boundary conditions which produce blow-up of the solutions. By a semidiscretization using a finite difference scheme in the space variable we get a system of ordinary differential equations which is an approximation of the original problem. We obtain sufficient conditions which guarantee the blow-up solution of this system in a finite time. We also show that this blow-up time converges to the theoretical one when the mesh size goes to zero. We present some numerical results to illustrate certain point of our work.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::727fe4d2a7d5b60dbce1b0ed512f7f5c https://doi.org/10.5539/jmr.v10n5p119 Zobrazit plný text záznamu