What is it about?
In this paper, we consider the modi ed inhomogeneous Helmholtz equation. We propose a regularization method to obtain a stable approximate solution of the problem and get some error estimates. Finally, a numerical example shows the effectiveness of the proposed method.
Featured Image
Why is it important?
Although there are many papers for homogeneous case of modi ed Helmholtz equation, the result on the inhomogeneous case is very scarce while the inhomogeneous case is, of course, more general and close to practical application than the homogeneous one. So, in this paper, we consider the problem of the modi ed inhomogeneous Helmholtz equation
Perspectives
In the present paper, the error estimates between the regularization solution and the exact solution are given not only in case 0 < y < 1 but also in case y = 1. This is a new point in the present paper.
Hieu Trung Phan
Read the Original
This page is a summary of: On regularization and error estimates for the Cauchy problem of the modified inhomogeneous Helmholtz equation, Journal of Inverse and Ill-Posed Problems, January 2016, De Gruyter,
DOI: 10.1515/jiip-2014-0069.
You can read the full text:
Contributors
The following have contributed to this page
