High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation
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 p...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/568296 |
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| _version_ | 1832563058824708096 |
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| author | Don Liu Weijia Kuang Andrew Tangborn |
| author_facet | Don Liu Weijia Kuang Andrew Tangborn |
| author_sort | Don Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4ca5914dbb764f1c9c2eb536dec7c9c1 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-4ca5914dbb764f1c9c2eb536dec7c9c12025-02-03T01:21:06ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/568296568296High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo SimulationDon Liu0Weijia Kuang1Andrew Tangborn2Program of Mathematics and Statistics, Louisiana Tech University, Ruston, LA 71270, USAPlanetary Geodynamics Laboratory, Code 698, NASA Goddard Space Flight Center, Greenbelt, MD 20771, USAJoint Center for Earth Systems Technology, University of Maryland Baltimore County, Baltimore, MD 21228, USAA 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.http://dx.doi.org/10.1155/2009/568296 |
| spellingShingle | Don Liu Weijia Kuang Andrew Tangborn High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation Advances in Mathematical Physics |
| title | High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation |
| title_full | High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation |
| title_fullStr | High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation |
| title_full_unstemmed | High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation |
| title_short | High-Order Compact Implicit Difference Methods For Parabolic Equations in Geodynamo Simulation |
| title_sort | high order compact implicit difference methods for parabolic equations in geodynamo simulation |
| url | http://dx.doi.org/10.1155/2009/568296 |
| work_keys_str_mv | AT donliu highordercompactimplicitdifferencemethodsforparabolicequationsingeodynamosimulation AT weijiakuang highordercompactimplicitdifferencemethodsforparabolicequationsingeodynamosimulation AT andrewtangborn highordercompactimplicitdifferencemethodsforparabolicequationsingeodynamosimulation |