High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation

作者:Liu Don*; Kuang Weijia; Tangborn Andrew
来源:Advances in Mathematical Physics, 2009, 2009: 568296.
DOI:10.1155/2009/568296

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.

  • 出版日期2009

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