Research Article

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

Table 7

Errors at different times for 𝜇 = 1 , Δ 𝑡 = 0 . 0 1 , and various values of 𝑁 of Experiment 2.

𝑁 𝑡 𝐿 2 𝐿 RMS

10 0.3 1 . 4 9 3 0 1 9 3 9 5 𝑒 2 2 . 8 3 7 9 8 5 7 𝑒 2 1 . 4 1 6 4 0 2 5 6 4 𝑒 2
0.5 2 . 0 9 1 6 1 9 4 5 9 𝑒 2 3 . 7 5 2 5 6 0 8 𝑒 3 1 . 9 8 4 2 8 4 4 4 7 𝑒 3
0.7 2 . 4 7 7 9 3 3 4 5 0 𝑒 2 4 . 3 3 8 7 3 2 3 𝑒 2 2 . 3 5 0 7 7 4 0 7 8 𝑒 2

20 0.3 2 . 0 1 7 3 6 3 6 4 7 𝑒 5 3 . 8 5 6 0 6 4 3 𝑒 5 2 . 0 1 7 3 6 3 6 4 7 𝑒 5
0.5 1 . 9 8 9 0 7 9 0 2 3 𝑒 5 3 . 7 8 3 6 2 0 1 𝑒 5 9 . 3 8 7 1 4 4 1 7 0 𝑒 5
0.7 1 . 9 1 7 9 4 1 8 1 7 𝑒 5 3 . 6 9 6 7 4 2 1 𝑒 5 1 . 8 6 9 3 7 8 4 4 6 𝑒 5

30 0.3 8 . 8 3 4 3 4 8 1 2 3 𝑒 6 1 . 4 2 7 4 9 3 4 𝑒 5 8 . 6 8 5 8 6 1 1 0 9 𝑒 6
0.5 7 . 4 1 3 3 1 2 5 8 5 𝑒 6 1 . 3 8 2 4 3 1 2 𝑒 5 7 . 2 8 8 7 1 0 2 2 2 𝑒 6
0.7 6 . 3 8 3 1 6 8 8 6 5 𝑒 6 1 . 3 3 1 5 4 0 4 𝑒 5 6 . 2 7 5 8 8 1 0 7 5 𝑒 6