REGULARIZATION AND ERROR ESTIMATES FOR NONHOMOGENEOUS BACKWARD HEAT PROBLEMS
REGULARIZATION AND ERROR ESTIMATES FOR NONHOMOGENEOUS BACKWARD HEAT PROBLEMS
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发表时间：
2006
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通讯作者：
Duc Trong Dang;Huy Tuan Nguyen
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作者：
Duc Trong Dang;Huy Tuan Nguyen
本文研究了一类非齐次热传导方程的反时间问题，这是一个严重不适定的问题。我们利用拟可逆性方法正则化了该问题，并得到了近似解的误差估计。用压缩原理求出了解，并给出了数值实验.我们还获得了收敛到精确解的速度。
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.