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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/568296 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1687-9120 1687-9139 |