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On the Numerical Solution of a Parabolic Inverse Problem with the Dirichlet Condition

Allaberen Ashyralyev, Abdullah Said Erdogan

Abstract


Numerical solutions of the inverse problem of the reconstruction of the right-hand side of the one-dimensional parabolic equation with the Dirichlet condition are presented. The coercive stability estimates for solutions of the first and second orders of accuracy difference schemes are established in the difference analogue of a space of smooth functions.

Keywords


parabolic inverse problem, identification problem, first order of accuracy, second order of accuracy, difference schemes, coercive stability estimates.

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