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

Table 3

The absolute errors and relative errors of numerical solutions to Example 1 for h = 1/25 (i.e., K = 4).

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.
0.04	0.5579e − 4	9.0292e − 3	0.7499e − 4	9.9277e − 3	1.1317e − 4	1.0041e − 2
0.12	1.6391e − 4	9.0313e − 3	2.2031e − 4	9.9298e − 3	3.3247e − 4	1.0043e − 2
0.24	2.7890e − 4	8.2703e − 3	3.7803e − 4	9.1694e − 3	5.7102e − 4	0.9283e − 2
0.36	3.5674e − 4	8.0054e − 3	4.8512e − 4	8.9048e − 3	7.3305e − 4	0.9018e − 2
0.48	3.8737e − 4	7.8818e − 3	5.2760e − 4	8.7813e − 3	7.9739e − 4	0.8895e − 2
0.60	3.6642e − 4	7.8242e − 3	4.9945e − 4	8.7237e − 3	7.5491e − 4	0.8837e − 2
0.72	2.9685e − 4	7.8239e − 3	4.0462e − 4	8.7235e − 3	6.1158e − 4	0.8837e − 2
0.84	1.8851e − 4	7.9457e − 3	2.5655e − 4	8.8452e − 3	3.8769e − 4	0.8959e − 2
0.96	0.5579e − 4	9.0292e − 3	0.7499e − 4	9.9277e − 3	1.1317e − 4	1.0041e − 2