Research Article

Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions

Table 10

Errors at different times for various values of parameter 𝜇 with 𝑁 = 2 0 of Experiment 3.

𝜇 𝑡 𝐿 2 𝐿 RMS

0.5 0.2 6 . 5 8 5 6 7 1 1 9 1 𝑒 3 8 . 9 2 5 4 1 5 5 𝑒 3 6 . 4 1 8 9 1 8 2 7 2 𝑒 3
0.4 9 . 0 9 2 7 0 0 1 0 0 𝑒 3 1 . 2 4 8 3 1 4 0 𝑒 2 8 . 8 6 2 4 6 7 7 9 1 𝑒 3
0.6 1 . 0 1 1 9 2 1 0 2 8 𝑒 2 1 . 3 9 3 2 0 7 0 𝑒 2 9 . 8 6 2 9 8 6 1 5 0 𝑒 3
0.8 1 . 0 5 4 9 2 7 6 6 3 𝑒 2 1 . 4 5 6 2 5 0 1 𝑒 2 1 . 0 2 8 2 1 6 2 9 8 𝑒 2

1.5 0.2 1 . 0 5 7 6 9 2 7 1 0 𝑒 3 1 . 4 5 2 9 4 4 7 𝑒 3 1 . 0 3 0 9 1 1 3 3 3 𝑒 3
0.4 1 . 1 1 8 2 1 4 4 8 7 𝑒 3 1 . 5 3 8 2 5 3 7 𝑒 3 1 . 0 8 9 9 0 0 6 6 3 𝑒 3
0.6 1 . 1 3 6 7 4 1 3 3 2 𝑒 3 1 . 5 6 3 8 0 7 9 𝑒 3 1 . 1 0 7 9 5 8 3 9 8 𝑒 3
0.8 1 . 1 5 2 2 7 1 6 2 2 𝑒 3 1 . 5 8 5 1 5 4 3 𝑒 3 1 . 1 2 3 0 9 5 4 5 3 𝑒 3

3 0.2 2 7 6 4 8 0 8 1 9 7 𝑒 4 3 . 7 9 3 0 5 2 𝑒 4 2 . 6 9 4 8 0 1 6 8 9 𝑒 4
0.4 2 . 7 9 2 6 4 2 4 8 0 𝑒 4 3 . 8 3 1 3 8 6 𝑒 4 2 . 7 2 1 9 3 1 1 9 3 𝑒 4
0.6 2 . 8 1 5 3 8 8 9 6 4 𝑒 4 3 . 8 6 2 5 5 2 𝑒 4 2 . 7 4 4 1 0 1 7 2 3 𝑒 4
0.8 2 . 8 3 7 3 8 3 5 9 5 𝑒 4 3 . 8 9 2 6 8 3 𝑒 4 2 . 7 6 5 5 3 9 4 3 7 𝑒 4