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, issue 1

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
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2009/568296

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2009:y:2009:i:1:n:568296

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().