摘要
修改的Helmholtz方程Cauchy问题是一类严重不适定问题.为了得到此类问题的稳定数值解,采用软化方法(利用高斯核)构造正则近似解,给出了正则近似解与精确解之间的误差估计,并通过数值实验检验了方法的有效性.
The Cauchy problem for the modified Helmholtz equation is a severely ill-posed problem. Inthis paper, to obtain the stable numerical solution for this problem, a mollification method（using theGaussian kernel） is proposed to construct regularization approximation solution, and then the errorestimate between regularization approximation solution and exact solution is given. Finally, a numericalexample is given to show the effectiveness of the proposed method.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2017年第3期1-7,共7页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11661072)
