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

Table 1

A summary of the convergence rates for the state variable 𝜙 and its derivative 𝜕𝜙/𝜕𝑟 at different values of L.

𝐿	𝜙 (JTr)	𝜙 (Combined)	𝜕𝜙/𝜕𝑟 (JTr)	𝜕𝜙/𝜕𝑟 (Combined)
2	7.68	6.94	7.56	6.75
25	6.18	6.05	6.24	6.01
28	6.01	4.34	5.99	4.54