论文信息 - REGULARIZATION AND ERROR ESTIMATES FOR NONHOMOGENEOUS BACKWARD HEAT PROBLEMS

REGULARIZATION AND ERROR ESTIMATES FOR NONHOMOGENEOUS BACKWARD HEAT PROBLEMS

In this article, we study the inverse time problem for the non- homogeneous heat equation which is a severely ill-posed problem. We regu- larize this problem using the quasi-reversibility method and then obtain error estimates on the approximate solutions. Solutions are calculated by the con- traction principle and shown in numerical experiments. We obtain also rates of convergence to the exact solution.

Huy Tuan Nguyen | Duc Trong Dang

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