Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods

Table 1

Numerical values of the Adams and explicit Runge–Kutta scheme for Examples 1 and 2.

x	Example 1		Example 2
	Exact	Adams	Exact	Adams
0.00	1.000000	1.000000	2.000000	2.000000
0.04	1.040000	1.039989	1.881600	1.881600
0.08	1.079900	1.079915	1.766400	1.766400
0.12	1.119700	1.119712	1.654400	1.654400
0.16	1.159300	1.159318	1.545600	1.545600
0.20	1.198700	1.198669	1.440000	1.440000
0.24	1.237700	1.237703	1.337600	1.337600
0.28	1.276400	1.276356	1.238400	1.238400
0.32	1.314600	1.314567	1.142400	1.142400
0.36	1.352300	1.352274	1.049600	1.049600
0.40	1.389400	1.389418	0.960000	0.960000
0.44	1.425900	1.425939	0.873600	0.873600
0.48	1.461800	1.461779	0.790400	0.790400
0.52	1.496900	1.496880	0.710400	0.710400
0.56	1.531200	1.531186	0.633600	0.633600
0.60	1.564600	1.564642	0.560000	0.560000
0.64	1.597200	1.597195	0.489600	0.489600
0.68	1.628800	1.628793	0.422400	0.422400
0.72	1.659400	1.659385	0.358400	0.358400
0.76	1.688900	1.688921	0.297600	0.297600
0.80	1.717400	1.717356	0.240000	0.240000
0.84	1.744600	1.744643	0.185600	0.185600
0.88	1.770700	1.770739	0.134400	0.134400
0.92	1.795600	1.795602	0.086400	0.086400
0.96	1.819200	1.819192	0.041600	0.041600
1.00	1.841500	1.841471	0.000000	0.000000