Research Article
Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks
Table 1
Comparison between exact solution and approximate solution of the new method of Experiment
1.
| | | Exact solution | Approximate solution of the new method | Error of the new method |
| 0.3333 | 0.2 | 0.4070935392947847 | 0.4070935392947850 | | 0.3333 | 0.4 | 0.4972251717238353 | 0.4972251717238351 | | 0.3333 | 0.6 | 0.6073121961701566 | 0.6073121961701570 | | 0.3333 | 0.8 | 0.7417727914665396 | 0.7417727914665393 | | 0.6667 | 0.2 | 0.8143092188653853 | 0.8143092188653852 | | 0.6667 | 0.4 | 0.9945995259174347 | 0.9945995259174348 | | 0.6667 | 0.6 | 1.214806604220352 | 1.214806604220355 | | 0.6667 | 0.8 | 1.483768137025928 | 1.483768137025920 | | 1.0000 | 0.2 | 1.221402758160170 | 1.221402758160172 | | 1.0000 | 0.4 | 1.491824697641270 | 1.491824697641277 | | 1.0000 | 0.6 | 1.822118800390509 | 1.822118800390500 | | 1.0000 | 0.8 | 2.225540928492468 | 2.225540928492466 | | 1.3333 | 0.2 | 1.628496297454955 | 1.628496297454971 | | 1.3333 | 0.4 | 1.989049869365105 | 1.989049869365101 | | 1.3333 | 0.6 | 2.429430996560666 | 2.429430996560662 | | 1.3333 | 0.8 | 2.967313719959008 | 2.967313719959003 | | 1.6666 | 0.2 | 2.035589836749739 | 2.035589836749740 | | 1.6666 | 0.4 | 2.486275041088941 | 2.486275041088940 | | 1.6666 | 0.6 | 3.036743192730822 | 3.036743192730820 | | 1.6666 | 0.8 | 3.709086511425547 | 3.709086511425548 | |
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