Some Novel Sixth-Order Iteration Schemes for Computing Zeros of Nonlinear Scalar Equations and Their Applications in Engineering

Table 6

Numerical comparison among different algorithms for transcendental and algebraic problems

Method					COC
,
NR1	9		−0.52248077281054548914		2
NR2	7		−0.52248077281054548914		3
TM	25		−0.52248077281054548914		4
MHM	3		−0.52248077281054548914		5
Algorithm 1	2		−0.52248077281054548914		6
Algorithm 2	2		−0.52248077281054548914		6
,
NR1	5		0.40999201798913713162		2
NR2	45		0.40999201798913713162		3
TM	4		0.40999201798913713162		4
MHM	3		0.40999201798913713162		5
Algorithm 1	2		0.40999201798913713162		6
Algorithm 2	2		0.40999201798913713162		6
,
NR1	7		0.56714329040978387300		2
NR2	4		0.56714329040978387300		3
TM	3		0.56714329040978387300		4
MHM	3		0.56714329040978387300		5
Algorithm 1	2		0.56714329040978387300		6
Algorithm 2	2		0.56714329040978387300		6
,
NR1	141		2.15443469003188372180		2
NR2	4		2.15443469003188372180		3
TM	3		2.15443469003188372180		4
MHM	3		2.15443469003188372180		5
Algorithm 1	2		2.15443469003188372180		6
Algorithm 2	2		2.15443469003188372180		6
,
NR1	78		1.00000000000000000000		2
NR2	4		1.00000000000000000000		3
TM	3		1.00000000000000000000		4
MHM	3		1.00000000000000000000		5
Algorithm 1	2		1.00000000000000000000		6
Algorithm 2	2		1.00000000000000000000		2
,
NR1	6		−1.40449164821534122600		2
NR2	3		−1.40449164821534122600		3
TM	3		−1.40449164821534122600		4
MHM	3		−1.40449164821534122600		5
Algorithm 1	2		−1.40449164821534122600		6
Algorithm 2	2		−1.40449164821534122600		2
,
NR1	4		0.00000000000000000000		2
NR2	4		0.00000000000000000000		3
TM	3		0.00000000000000000000		4
MHM	3		0.00000000000000000000		5
Algorithm 1	2		0.00000000000000000000		6
Algorithm 2	2		0.00000000000000000000		2