On a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function space
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Date
2007
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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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Keywords
Semilinear heat equation, Integral boundary condition, Rothe method