ABSTRACT
G2 +bG-l =0 (10.58) where b = -4d(cos8 - I) = 8dsin2(8j2). Solving Eq. (10.58) by the quadratic formula yields
(10.59)
When b = 0, IGI = 1. For all other values of b, IGI > 1. Consequently, the Richardson (leapfrog) method is unconditionally unstable when applied to the diffusion equation.
