An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation

Table 1

M = 40, N = 100, , a = 0.005, E = 50, and T = 1, on .

Scheme	Explicit/Implicit	Elapsed time (seconds)
FTCS	Explicit	0.116025
BTCS	Implicit	0.886669
CN	Implicit	0.171459
Saul’yev	Explicit	0.125903