Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

Table 1

Maximum absolute error, order of convergence, and CPU time in seconds of the FOCs, FODs, and FOSs for test problem (34) at time instant 𝑡=1.

Types of scheme	Grid points	Maximum error	Rate of convergence	Aver. number of iteration	CPU time in sec.
	11	3.8687×10^−8	—	1	0.006
	21	6.0426×10^−10	6.0005	1	0.042
FOCs	41	2.2454×10^−11	4.7501	1	0.326
	81	1.2821×10^−12	4.1304	1	2.564
	161	8.0164×10^−14	3.9994	1	20.437
	11	9.9767×10^−9	—	4	0.015
	21	1.4996×10^−9	2.7361	3	0.085
FODs	41	1.1193×10^−10	3.7438	2	0.438
	81	7.1438×10^−12	3.9698	2	3.450
	161	4.4797×10^−13	4.1875	2	27.495
	11	9.9763×10^−9	—	1	0.006
	21	1.4996×10^−9	2.7361	1	0.043
FOSs	41	1.1193×10^−10	3.7438	1	0.334
	81	7.1440×10^−12	3.9698	1	2.623
	161	4.4854×10^−13	4.1875	1	20.907