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

Table 2

The absolute errors and relative errors of numerical solutions to Example 1 for h = 1/19 (i.e., K = 3).

x j	Algorithm 1 (t = 0.2)		Algorithm 1 (t = 0.4)		Algorithm 1 (t = 0.8)
	A.E.	R. E.	A. E.	R. E.	A. E.	R. E.
0.11	0.3731e − 3	1.7559e − 2	0.5021e − 3	1.9312e − 2	0.7577e − 3	1.9534e − 2
0.21	0.6184e − 3	1.5420e − 2	0.8428e − 3	1.7176e − 2	1.2739e − 3	1.7399e − 2
0.31	0.8750e − 3	1.5999e − 2	1.1881e − 3	1.7754e − 2	1.7950e − 3	1.7976e − 2
0.42	0.9753e − 3	1.5409e − 2	1.3294e − 3	1.7165e − 2	2.0093e − 3	1.7388e − 2
0.52	1.0066e − 3	1.5469e − 2	1.3715e − 3	1.7225e − 2	2.0729e − 3	1.7447e − 2
0.63	0.9135e − 3	1.5280e − 2	1.2463e − 3	1.7037e − 2	1.8839e − 3	1.7259e − 2
0.73	0.7582e − 3	1.5778e − 2	1.0310e − 3	1.7534e − 2	1.5579e − 3	1.7757e − 2
0.84	0.5469e − 3	1.7563e − 2	0.7361e − 3	1.9316e − 2	1.1109e − 3	1.9538e − 2
0.95	0.1891e − 3	1.7556e − 2	0.2545e − 3	1.9309e − 2	0.3841e − 3	1.9532e − 2