Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

Table 2

Absolute error, the rate of convergence, and CPU time in seconds of the FOCs, FODs, and FOSs for the test problem (35) at time instant 𝑡=1.

Types of scheme	Grid points	Maximum error	Rate of convergence	Aver. number of iteration	CPU time in sec.
	11	1.8470×10^−5	—	1	0.006
	21	3.6901×10^−7	5.6454	1	0.046
FOCs	41	7.5595×10^−9	5.6092	1	0.353
	81	6.6458×10^−10	3.5077	1	2.778
	161	4.8841×10^−11	3.7663	1	22.141
	11	1.7132×10^−5	—	7	0.016
	21	2.6914×10^−7	5.9922	7	0.128
FODs	41	2.7910×10^−8	3.2655	6	0.851
	81	2.0112×10^−9	3.7941	5	5.568
	161	1.3116×10^−10	3.9415	5	44.375
	11	1.2895×10^−5	—	1	0.006
	21	2.8544×10^−7	5.9922	1	0.046
FOSs	41	2.7306×10^−8	3.2655	1	0.359
	81	1.9590×10^−9	3.7941	1	2.821
	161	1.3130×10^−10	3.9415	1	22.484