A nonlinear case of the 1-D backward heat problem: regularization and error estimate
---Publisher, magazine: ,
Publication year: 2007
Lưu Trích dẫn Chia sẻAbstract
The nonlinear problem is severely ill-posed. We improve the quasi-boundary value method to regularize the problem and to get some error estimates. The approximation solution is calculated by the contraction principle. A numerical experiment is given.
Tags: Backward heat problem; nonlinearly ill-posed problem; quasi-boundary value methods; quasi-reversibility methods; contraction principle
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