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

Don Liu, Weijia Kuang and Andrew Tangborn

Advances in Mathematical Physics, 2009, vol. 2009, 1-23

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:568296

DOI: 10.1155/2009/568296

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