Research Article

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

Table 3

Errors for 𝜇 = 0 . 0 0 5 , Δ 𝑡 = 0 . 0 1 , and various values of 𝑁 at 𝑡 = 1 . 7 of Experiment 1.

𝑁 𝐿 2 𝐿 RMS

10 1 . 8 4 8 0 5 7 0 5 5 𝑒 2 3 . 9 2 5 6 6 4 3 4 𝑒 2 1 . 6 0 0 4 6 4 3 5 8 𝑒 2
20 2 . 0 6 7 8 1 0 7 3 8 𝑒 3 5 . 8 7 0 9 8 1 9 0 𝑒 3 1 . 8 3 9 8 4 8 0 8 8 𝑒 3
30 9 . 9 2 2 8 3 7 8 0 6 𝑒 4 2 . 9 3 6 1 9 8 8 2 𝑒 4 8 . 9 0 6 0 1 9 4 9 0 𝑒 4
40 1 . 0 0 0 8 3 4 8 4 8 𝑒 3 3 . 3 0 8 2 4 8 9 0 𝑒 3 9 . 0 2 1 4 0 3 4 0 1 𝑒 4