%0 Journal Article
%T Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation
%A Hongwu Zhang
%A Xiaoju Zhang
%J Open Access Library Journal
%V 2
%N 5
%P 1-7
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1101542
%X We consider an inverse initial value problem of the
biparabolic equation; this problem is ill-posed and the regularization methods
are needed to stabilize the numerical computations. This paper firstly
establishes a conditional stability of Holder type, then uses a modified
regularization method to overcome its ill-posedness and gives the convergence
estimate under an<i> a-priori</i> assumption
for the exact solution. Finally, a numerical example is presented to show that
this method works well.
%K Inverse Initial Value Problem
%K Biparabolic Equation
%K Conditional Stability
%K Regularization Method
%K Convergence Estimate
%U http://www.oalib.com/paper/3145694