Exponentially-fitted Numerov methods
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摘要
The error in the estimate of the kth eigenvalue of a regular Sturm–Liouville problem obtained by Numerov's method with mesh length h is O(k6h4). It is shown that the error can be reduced to O(k3h4) by using one of the three versions of the exponentially-fitted Numerov method. Numerical examples demonstrate the usefulness of this approach even for low values of k.
论文关键词：Exponential fitting,Numerov methods,Eigenvalues
论文评审过程：Received 8 December 2005, Revised 14 December 2005, Available online 9 February 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2005.12.022
