A Modified RBF Collocation Method for Solving the Convection-Diffusion Problems

Table 2

Comparison of results obtained by applying the RBF collocation method with GA, CB, HybRBF, and MHybRBF with different .

	GA			Time	CB			Time
	RMSE	MAXE	CN		RMSE	MAXE	CN
100	3.615045-06	6.990812-06	1.537902+23	0.123355	1.470723-07	3.059453-07	4.684657+11	0.116703
10	3.476547-04	6.694427-04	1.304255+22	0.116527	1.428050-05	3.034218-05	5.151761+10	0.179804
1	2.280170-02	4.270190-02	1.026336+21	0.132901	1.109043-03	2.366442-03	1.191804+10	0.122082
0.5	5.552731-02	1.055118-01	1.724032+21	0.132075	3.293163-03	7.376807-03	1.054947+10	0.122629
0.1	3.533230-01	8.452437-01	5.881338+20	0.123835	5.047532-02	1.422299-01	6.712422+10	0.118474
0.01	5.981820-01	2.266399+00	1.198877+21	0.125228	3.421569-01	1.458199+00	3.078447+11	0.125130
0.001	2.114194-01	1.248382+00	3.568844+20	0.126839	1.732781+01	7.510594+01	1.602582+13	0.124880
0.0001	4.240498-01	2.052057+00	6.242204+21	0.114314	1.062712+00	8.896234+00	3.631293+11	0.146026
	HybRBF				MHybRBF
	RMSE	MAXE	CN	Time	RMSE	MAXE	CN	Time
100	7.705245-06	1.434408-05	7.463696+12	0.122474	8.164123-07	1.778744-06	7.935031+11	0.121252
10	6.449282-04	1.200222-03	7.820077+11	0.134633	8.006966-05	1.725578-04	8.404555+10	0.128443
1	2.337358-03	4.480407-03	1.454403+11	0.140067	6.479810-03	1.319792-02	1.359125+10	0.164191
0.5	5.209617-01	1.127411+00	1.149173+11	0.132664	2.108005-02	4.226807-02	9.773317+09	0.116316
0.1	5.209617-01	1.127411+00	3.183265+11	0.114587	1.658683-01	3.137132-01	1.585630+10	0.120703
0.01	3.210199-01	8.306938-01	4.371672+11	0.115497	4.172998-01	1.540322+00	2.048141+12	0.135795
0.001	4.251006-01	1.577832+00	4.997906+11	0.114875	1.235107+00	4.180278+00	3.094705+11	0.117116
0.0001	3.209438+00	9.752944+00	8.167756+11	0.137506	5.994588-01	2.263910+00	1.955926+11	0.118089