A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly

Table 1

Numerical results for solving Problem 1.

TOL	MTD	TS	MAXE	AVERR	FC
10^−2	ode45	11	1.743 (−6)	2.244 (−6)	67
	4P1FI	23	1.640 (−4)	5.346 (−7)	210
	4PHODE	20	9.031 (−9)	1.611 (−10)	186
10^−4	ode45	11	1.641 (−6)	2.186 (−6)	67
	4P1FI	37	9.727 (−7)	6.988 (−9)	339
	4PHODE	27	7.059 (−10)	1.092 (−11)	243
10^−6	ode45	18	5.234 (−7)	8.596 (−7)	109
	4P1FI	50	5.582 (−9)	5.727 (−11)	447
	4PHODE	35	1.009 (−9)	3.401 (−11)	307
10^−8	ode45	44	5.485 (−9)	9.472 (−9)	265
	4P1FI	96	7.597 (−11)	2.881 (−13)	799
	4PHODE	42	1.838 (−10)	2.619 (−12)	363
10^−10	ode45	108	5.552 (−11)	9.551 (−11)	649
	4P1FI	788	1.834 (−14)	2.554 (−15)	6331
	4PHODE	50	1.023 (−10)	3.443 (−12)	439
KAYODE (a)		Not stated	1.638 (−6)	Not stated	Not stated
KAYODE (b)		100	5.082 (−7)	Not stated	Not stated