of of

CrankNicolson approach presented in Section 10.7.2 for the diffusion equation. The procedure is straightforward. The major use of implicit methods for solving hyperbolic PDEs is to obtain the asymptotic steady state solution of mixed elliptic/hyperbolic problems. As pointed out in Section 10.11, the BTCS method is preferred over the Crank-Nicolson method for obtaining asymptotic steady state solutions. Consequently the Crank-Nicolson method is not developed for the convection equation.