Rothe time-discretization method for the semilinear heat equation subject to a nonlocal boundary condition

Nabil Merazga and Abdelfatah Bouziani

International Journal of Stochastic Analysis, 2006, vol. 2006, 1-20

Abstract:

This paper is devoted to prove, in a nonclassical function space, the weak solvability of a mixed problem which combines a Neumann condition and an integral boundary condition for the semilinear one-dimensional heat equation. The investigation is made by means of approximation by the Rothe method which is based on a semidiscretization of the given problem with respect to the time variable.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:034053

DOI: 10.1155/JAMSA/2006/34053

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