Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639222 | Journal of Computational and Applied Mathematics | 2013 | 19 Pages |
Abstract
In this paper, we propose a new modified Numerov's method for recovering from eigenvalues a symmetric potential of a Sturm-Liouville operator with Dirichlet boundary conditions. We use interpolation to refine the mesh sufficiently for Numerov's method to be effective even without the asymptotic correction technique of Andrew and Paine. Accuracy and stability of the method are investigated. Convergence of the method is established. Our method is extended to deal with natural boundary conditions. Numerical experiments confirm its competitiveness.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Qin Gao, Xiaoliang Cheng, Zhengda Huang,