中文摘要：

对于一类带有多个点源的扩散方程混合边值问题,应用差分法给出了一个数值求解格式,并在已知点源个数及其位置的前提下,根据出流端的浓度观测数据,应用最佳摄动量正则化算法对源强度识别反问题进行了数值反演.通过两个数值算例验证了算法的有效性,同时讨论了正则参数、数值微分步长以及初始迭代值等参数选取对反演算法的影响.

英文摘要：

An inverse problem of determining source magnitude is discussed for the one-dimensional diffusion equation with multi-point sources with additional data at the out-flow side.An optimal perturbation regularization algorithm is applied to determine the magnitudes of multi-point sources under the condition that the number and location of point sources are known.Two numerical simulations are carried out showing the algorithm＇s effectiveness,and impacts of the regularization parameter,numerical differential step and initial iteration on the inversion are also discussed.