【摘要】 一维非标准逆热传导问题ut+ ux =uxx,u(1,t) =g(t) ,u(x ,0 ) =0 ,　0≤ x <∞ ,0 <t<∞ ,0≤ t<∞ ,x≥ 0是一个严重不适定问题 ,给数值处理带来极大困难 .本文给出了一种 Fourier正则化方法 ,恢复了解对数据的连续依赖性 ,并给出了误差估计更多还原

【Abstract】 The following non-standard inverse heat conduction problem arises in various application fields u t+u x=u xx, u(1,t)=g(t), u(x,0)=0, 0≤x<∞,0<t<∞, 0≤t<∞, x≥0. This problem is seriously ill-posed and it seems impossible to compute numerically the solution when it does not depend continuously on the data.In this paper the stability of this problem is recovered by a Fourier regularization method and the error estimation is given.更多还原