Author： Slodička M.
Publisher： Springer Publishing Company
ISSN： 0862-7940
Source： Applications of Mathematics, Vol.48, Iss.1, 2003-02, pp. : 49-66
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Abstract
In this paper, we consider a 2nd order semilinear parabolic initial boundary value problem (IBVP) on a bounded domain \Omega \subset {\Bbb R}^N, with nonstandard boundary conditions (BCs). More precisely, at some part of the boundary we impose a Neumann BC containing an unknown additive space-constant α(t</i>), accompanied with a nonlocal (integral) Dirichlet side condition. We design a numerical scheme for the approximation of a weak solution to the IBVP and derive error estimates for the approximation of the solution u</i> and also of the unknown function α.
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