Research Article
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 |
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