صندلی اداری

COMPARISON AND CONVERGENCE THEOREMS FOR INITIAL-BOUNDARY VALUE PROBLEM TO ONE NONLINEAR PARABOLIC EQUATION

Mikheil Tutberidze

Abstract


The difference scheme of the initial-boundary value problem for one nonlinear parabolic equation is considered. The convergence of the solution of the difference scheme to the solution of source problem is proved. For the same difference scheme the comparison theorem is proved and the uniqueness of the solution is obtained. The iteration process for finding the solution of difference scheme is constructed and its convergence is obtained.

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