Numerical quenching of a heat equation with nonlinear boundary conditions
نویسندگان
چکیده
منابع مشابه
Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions
This paper concerns the study of the numerical approximation for the following boundary value problem: 8><>: ut(x, t) − uxx(x, t) = −u(x, t), 0 < x < 1, t > 0, ux(0, t) = 0, u(1, t) = 1, t > 0, u(x, 0) = u0(x) > 0, 0 ≤ x ≤ 1, where p > 0. We obtain some conditions under which the solution of a semidiscrete form of the above problem quenches in a finite time and estimate its semidiscrete quenchi...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2019
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.013.01.06