| 改进的一阶弹性波方程交错网格高阶差分解法 |
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| 引用本文： | 李萌.改进的一阶弹性波方程交错网格高阶差分解法[J].地球物理学进展,2009,24(3):1065-1068. |
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| 作者姓名： | 李萌 |
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| 作者单位： | 中国地质大学,北京,100083 |
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| 摘 要： | 本文对董良国、马在田等人发表在<地球物理学报>上的一阶弹性波方程交错网格高阶差分解法一文进行了差分格式的改进.发现原文对一阶空间导数采用2N阶差分精度,而对高阶导数却采用简单的中心差分,即对同一方程中的各阶导数的处理存在有的采用高阶格式、有的采用低阶格式的不一致性问题,本文的改进点正是消除了这种不一致性,建立了时间和空间均为四阶精度的差分格式.该方法具有编程简便、易于计算机实现和精度较高的特点.
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| 关 键 词： | 弹性波方程 横向各向同性 高阶差分 交错网格 |
| 收稿时间： | 2008-5-15 |
| 修稿时间： | 2008-7-8 |
Improvement to the staggered-grid high-order difference method of one-order elastic wave equation |
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| LI Meng.Improvement to the staggered-grid high-order difference method of one-order elastic wave equation[J].Progress in Geophysics,2009,24(3):1065-1068. |
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| Authors: | LI Meng |
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| Abstract: | A paper, titled A staggered-grid high-order difference method of one-order elastic wave equation, written by Dong et al is published on Chinese Journal of Geophysics.In this article we find that the difference methods of dealing with all order derivatives are not a uniform scheme-2N order difference accuracy for one-order spatial derivatives, while center-difference for derivatives of higher order. We establish a difference scheme, which has fourth order accuracy either in time or spatial domain, possessing a uniform scheme. This method can help to program and improve accuracy. |
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| Keywords: | elastic wave equation TI media high-order finite difference staggered-grid |
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