Numerical Solution of A Kind of Boundary Inverse Problem for Parabolic Equation
In this paper, a numerical method is proposed for determining boundary conditions in an inverse parabolic problem. Applying the superposition principle and function transformation, a kind of boundary inverse problem for inho-mogeneous parabolic equation is reduced to a kind of boundary inverse problem for homogeneous parabolic equation. The Tikhonov regularization method and the least-squares method are adopted to modify the solution. Numerical results show that excellent estimation on the timedependent boundary fluxes can be obtained with small disturbance measured data.
inverse problem parabolic equation least-squares method Tikhonov regularization
Zhousheng Ruan Hai Sun
School of Mathematics and Informational Sciences East China Institute of Technology Fuzhou,Jiangxi 344000,China
国际会议
黄山
英文
99-102
2010-05-28（万方平台首次上网日期，不代表论文的发表时间）