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

Figure 10

Comparisons of convergence rates of the sixth-order compact schemes for the sample geodynamo problem. Results were obtained separately from the Jacobian transformation and the combined method at 𝐿=28: solution error 𝜙 (a); derivative error 𝜕𝜙/𝜕𝑟 (b).

(a)

(b)