摘要
考虑修正的Helmholtz方程Cauchy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.采用滤波正则化方法,得到H lder型误差估计,并给出数值试验.
A Cauchy problem for the modified Helmholtz equation was considered. This problem was ill-posed, i.e., the solution (if it exists) did not depend continuously on the data. An optimal filtering method was presented for approximating the solution of this problem, and the H?lder type error estimate was obtained. Numerical illustration showed that the method worked effectively.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期873-876,共4页
Journal of Lanzhou University(Natural Sciences)
基金
江苏省自然科学青年基金项目(BK20130118)
中央高校基本科研业务费专项资金项目(JUSRP1033)
国家自然科学基金项目(11171136
11271163
11371174)
