Iteration Methods with an Auxiliary Function for Nonlinear Equations

Table 1

Numerical result for motion of a particle.

	6	–0.3170617745729570950	8.245568e − 22	3.926144e − 11
	5	−0.3170617745729570950	1.612296e − 71	1.751504e − 24
	5	−0.3170617745729570950	8.062909e − 78	1.477384e − 26
	5	−0.3170617745729570950	4.280457e − 66	1.081215e − 22
	5	−0.3170617745729570950	1.543287e − 22	1.310848e − 22
	5	−0.3170617745729570950	1.543287e − 22	1.441913e − 22
	4	−0.3170617745729571000	3.332577e − 19	1.042056e − 20
	4	−0.3170617745729571000	3.332577e − 19	1.119981e − 13
	5	−0.3170617745729570950	2.670763e − 56	1.882972e − 19
	5	−0.3170617745729570950	5.041170e − 43	3.979192e − 15
	4	−0.3170617745729571000	3.332577e − 19	1.782496e − 16
	4	−0.3170617745729571000	3.332577e − 19	9.411615e − 12