%0 Journal Article %A Ou Xie and Zhenyu Zhao %D 2012 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 68, 2012 %T Identifying an Unknown Source in the Poisson Equation by a Modified Tikhonov Regularization Method %U https://publications.waset.org/pdf/892 %V 68 %X In this paper, we consider the problem for identifying the unknown source in the Poisson equation. A modified Tikhonov regularization method is presented to deal with illposedness of the problem and error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical examples show that the proposed method is effective and stable. %P 1128 - 1132