The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations

Algorithm 2

The SC-N scheme for two-dimensional parabolic equations.

	Require: Initialization U^0 (xi, yj) ⟵ u0 (xi, yj).
	for n = 0, 1, ⋯, N do
	for i = 0, 1, ⋯, m do
	for j = 0, 1, ⋯, m do
	Solve the values by using the scheme (30).
	Solve the values again by using the scheme (32).
	end for
	end for
	end for
	Ensure: Output U^N (xi, yj).