Convergent Semidiscretization of a Nonlinear Fourth Order Parabolic System
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Semidiscretization for a nonlocal parabolic problem
where u represents the temperature generated by the electric current flowing through a conductor, φ the electric potential, σ(u) and k(u) are, respectively, the electric and thermal conductivities. For more description, we refer to [5, 6, 7, 8, 11] among others. We recall also that the Euler forward method was used by several authors to treat semidiscretization of nonlinear parabolic problems, ...
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