The variational assimilation method is employed to research into the problem of the 1-D backward heat conduction. Firstly, a new forward problem is constructed to get more observation, and the initial value of this problem is the given observation. Secondly, the variational assimilation is introduced to inverse the problem’s initial value. Lastly, numerical simulation experiments are arranged. The result of the numerical simulation shows that this method is feasible and robust as well.
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梁勇,曹红妍. 一维逆时热传导初值问题的反演方法[J]. 科学技术与工程, 2010, (1): . liangyong, caohongyan. Inversion of the Initial Value of 1-D Backward Heat Conduction Equation[J]. Science Technology and Engineering,2010,(1).