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

Figure 2

Comparisons of convergence rates of the fourth-order compact schemes for problem 1 at different values of 𝜖: solution error 𝜙 (a); derivative error 𝜕𝜙/𝜕𝑟 (b).

(a)

(b)