考虑一类热传导方程的源项识别反问题,这类问题是不适定的,即问题的解(如果存在)不连续依赖于测量数据.采用修改"核"正则化方法,得到正则逼近解和精确解之间的误差估计,并给出数值试验.
The inverse problem of identifying unknown source in a class of heat conduction equation is considered.This problem is ill-posed,i.e.its solution(if exists)does not depend continuously on the measured data.By using of the modifying"kernel"regularization method,the error estimate between the regularized approximation and exact solution is obtained and numerical test is also given.