Research Article

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

Table 4

Errors at different times for 𝜇 = 0 . 0 0 5 , Δ 𝑡 = 0 . 0 1 , and 𝑁 = 3 0 of Experiment 1.

𝑡 𝐿 2 𝐿 RMS

1.1 6 . 6 8 9 0 9 3 1 𝑒 4 2 . 4 4 9 0 4 6 7 𝑒 3 6 . 0 0 3 6 4 4 8 𝑒 4
1.3 7 . 9 3 1 9 3 7 2 𝑒 4 2 . 4 7 0 1 5 8 1 𝑒 3 7 . 1 1 9 1 3 1 5 𝑒 4
1.5 9 . 1 9 7 2 2 6 8 𝑒 4 2 . 6 3 0 8 6 4 6 𝑒 3 8 . 2 5 4 7 6 3 7 𝑒 4
1.7 9 . 9 2 2 8 3 7 8 𝑒 4 2 . 9 3 6 1 9 8 8 𝑒 3 8 . 9 0 6 0 1 9 4 𝑒 4
1.9 1 . 0 2 9 4 3 6 3 𝑒 3 2 . 9 2 4 7 2 8 4 𝑒 3 9 . 2 3 9 4 7 4 0 𝑒 4
2.1 1 . 0 4 1 7 3 8 2 𝑒 3 3 . 1 3 8 6 6 7 9 𝑒 3 9 . 3 4 9 8 8 7 1 𝑒 4
2.3 1 . 0 4 0 6 7 5 3 𝑒 3 3 . 2 5 7 4 1 5 8 𝑒 3 9 . 3 4 0 3 4 6 7 𝑒 4
2.5 1 . 0 3 9 0 6 2 4 𝑒 3 3 . 1 5 7 5 8 4 0 𝑒 3 9 . 3 2 5 8 7 0 7 𝑒 4