山东理工大学学报（自然科学版）Issue(6)：1-6,6.
时间分数阶二维对流扩散方程多点源强的数值反演
Numerical determination of multi-point sources magnitude in 2-D time f ractional advection-dispersion equation
摘要
Abstract
A finite difference scheme is introduced to solve the 2-D time fractional diffusion equa-tion with multiple point sources based on Caputo’s discretization to the time fractional derivative , and numerical test is presented .Furthermore ,the optimal perturbation regularization algorithm is applied to determine the magnitudes of the multi-point sources using measurements at the final time .Numerical inversions are performed to demonstrate the effectiveness of the proposed algo-rithm ,and influences of the regularization parameter ,the fractional order and the data noises on the inversion algorithm are discussed .关键词
时间分数阶导数/二维对流扩散/多点源/反问题/最佳摄动量正则化算法/数值模拟Key words
time fractional derivative/2-D advection diffusion/multi-point sources/inverse prob-lem/optimal perturbation regularization algorithm/numerical simulation分类
数理科学引用本文复制引用
李慧玲,李功胜,贾现正,池光胜..时间分数阶二维对流扩散方程多点源强的数值反演[J].山东理工大学学报（自然科学版）,2013,(6):1-6,6.基金项目
国家自然科学基金资助项目（11071148）；山东省自然科学基金资助项目 （）
