Research Article
A Modified RBF Collocation Method for Solving the Convection-Diffusion Problems
Table 3
The optimized shape parameter (
) of HybRBF2 and MHybRBF2 with different
.
| | HybRBF2 | CN | | MHybRBF2 | CN | Time | | RMSE | MAXE | Time | | RMSE | MAXE |
| | 100 | 2.45 | 1.538491-08 | 5.205199-08 | 1.311588+12 | 0.169221 | 3.54 | 2.910194-07 | 6.910851-07 | 8.426454+11 | 0.121009 | | 10 | 2.49 | 1.168458-06 | 4.199704-06 | 1.536089+11 | 0.120400 | 3.56 | 2.736761-05 | 6.770259-05 | 8.961082+10 | 0.119983 | | 1 | 3.00 | 2.337358-03 | 4.480407-03 | 1.454403+11 | 0.112102 | 3.93 | 1.588563-03 | 3.551225-03 | 1.539699+10 | 0.115826 | | 0.5 | 18.00 | 3.857760-03 | 7.847551-03 | 2.209149+06 | 0.226041 | 4.36 | 3.900101-03 | 8.252530-03 | 1.330964+10 | 0.129819 | | 0.1 | 9.45 | 1.294861-03 | 3.710988-03 | 9.744350+09 | 0.113749 | 10.00 | 9.266198-03 | 2.282203-02 | 6.723776+09 | 0.117170 | | 0.01 | 2.71 | 3.140152-01 | 7.836397-01 | 3.216466+11 | 0.188296 | 9.38 | 1.086233-01 | 4.221994-01 | 1.067272+10 | 0.134580 | | 0.001 | 3.97 | 1.962120-01 | 9.497762-01 | 1.337207+11 | 0.177430 | 46.5 | 7.834417-02 | 3.383703-01 | 1.872398+08 | 0.123130 | | 0.0001 | 61.10 | 2.196106-01 | 9.531780-01 | 6.056237+10 | 0.108612 | 47.59 | 1.760771-01 | 1.287923+00 | 1.014938+08 | 0.115460 |
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