Compact finite difference schemes of sixth order for the Helmholtz equation

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摘要

New compact finite difference schemes of sixth order are derived for the three dimensional Helmholtz equation, Δu-κ2u=-f. Convergence characteristics and accuracy are compared and a truncation error analysis is presented for a broad range of κ-values.

论文关键词：Helmholtz equation,High order compact solvers,Padé approximation,Combination of finite difference schemes

论文评审过程：Received 19 July 2005, Revised 13 March 2006, Available online 24 April 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.03.008