Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844771 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 20 Pages |
Abstract
In this paper, we construct a semidiscrete approximate solution to a semilinear one-dimensional heat equation subject to integral boundary conditions by means of the Rothe discretization in time method. The convergence of the approximation scheme obtained is proved, yielding the well-posedness of the problem considered.
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Authors
Nabil Merazga, Abdelfatah Bouziani,