Research Article
Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions
Table 2
Comparison of results for
, and
at
of Experiment
1.
| | Exact solution | Approximation solution | Absolute error |
|
0.1
|
0.0499996616
|
0.0499026831
|
0.0000969784
|
0.2
|
0.0999985674
|
0.0999517703
|
0.0000467971
|
0.3
|
0.1499924999
|
0.1500053758
|
0.0000128759
|
0.4
|
0.1999424670
|
0.2000195386
|
0.0000770716
|
0.5
|
0.2493193396
|
0.2492266449
|
0.0000926947
|
0.6
|
0.2877130559
|
0.2859612890
|
0.0017517669
|
0.7
|
0.1665563722
|
0.1653680358
|
0.0011883364
|
0.8
|
0.0083625462
|
0.0095237900
|
0.0178863362
|
0.9
|
0.0001370197
|
0.0002155982
|
0.0000785785
|
1.0
|
0.0000013175
|
−0.000007072
|
0.0000083903
|
1.1
| |
−0.000008593
|
0.0000086008
|
|
|