文章基本信息

标题：High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation
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作者：Don Liu ; Weijia Kuang ; Andrew Tangborn 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2009
卷号：2009
DOI：10.1155/2009/568296
出版社：Hindawi Publishing Corporation
摘要：A series of compact implicit schemes of fourth and sixth orders are developed for solving differential equations involved in geodynamics simulations. Three illustrative examples are described to demonstrate that high-order convergence rates are achieved while good efficiency in terms of fewer grid points is maintained. This study shows that high-order compact implicit difference methods provide high flexibility and good convergence in solving some special differential equations on nonuniform grids.