SOR-Like New Iterative Method for Solving the Epidemic Model and the Prey and Predator Problem

Table 1

Approximate solution of equation (35) using the proposed method (33).

k	x	y	z	x	y	z
0	2	1	−2	2	1	−2
1	−0,6	2, 204358415	2, 962684578	0, 96	1, 448047366	−0, 199128192
2	2, 299154229	−0, 237343734	−0, 162144493	0, 788265842	1, 275157468	0, 498111281
3	0, 079931884	1, 944118025	1, 84195096	0, 849963079	1, 163177391	0, 765014696
4	1, 618854953	0, 308613466	0, 400788103	0, 928268317	1, 101489658	0, 866079833
5	0, 641363538	1, 534459985	1, 33638532	0, 981348922	1, 068048949	0, 903672428
6	1, 278415615	0, 677037115	0, 670427726	1, 011498015	1, 050136643	0, 917262819
7	0, 883125358	1, 271218346	1, 108043169	1, 027249778	1, 040716812	0, 921957724
8	1, 140054981	0, 868962696	0, 80534744	1, 035089488	1, 035866487	0, 923459205
9	0, 976601869	1, 139495863	1, 006101041	1, 038868493	1, 033420302	0, 923871258
10	1, 0842944	0, 958744191	0, 869825588	1, 040648498	1, 032209918	0, 923943118
⋮	⋮	⋮	⋮	⋮	⋮	⋮