Research Article

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

Table 5

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

𝑡 𝐿 2 𝐿 RMS

0.3 7 . 4 2 9 1 1 5 1 8 2 𝑒 5 1 . 3 9 6 7 3 3 𝑒 4 7 . 0 8 3 3 8 3 3 9 7 𝑒 5
0.5 7 . 3 8 2 2 2 0 3 9 3 𝑒 5 1 . 3 8 2 5 0 1 𝑒 4 7 . 0 3 8 6 7 0 9 7 0 𝑒 5
0.7 7 . 3 0 9 6 2 9 3 5 0 𝑒 5 1 . 3 6 2 4 5 6 𝑒 4 6 . 9 6 9 4 5 8 1 2 6 𝑒 5
0.9 7 . 2 3 9 6 5 8 2 0 4 𝑒 5 1 . 3 4 0 4 6 6 𝑒 4 6 . 9 0 2 7 4 3 2 5 6 𝑒 5
1.1 7 . 1 7 6 1 2 8 4 4 3 𝑒 5 1 . 3 1 7 0 9 5 𝑒 4 6 . 8 4 2 1 7 0 0 0 6 𝑒 5
1.3 7 . 1 1 9 7 5 2 3 2 0 𝑒 5 1 . 2 9 2 5 0 8 𝑒 4 6 . 7 8 8 4 1 7 4 8 2 𝑒 5