Research Article

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

Table 6

Comparison of results for 𝑁 = 1 1 at 𝑡 = 1 , of Experiment 2.

𝑥 Exact solution Approximation solution Absolute error

0.1 0.6497412010 0.6498740944 0.0003289340
0.2 0.6418463275 0.6419327944 0.0000864669
0.3 0.6339183523 0.6339885286 0.0000701763
0.4 0.6259634450 0.6260053930 0.0000419480
0.5 0.6179878599 0.6180048280 0.0000169681
0.6 0.6099979174 0.6099885933 0.0000093241
0.7 0.6019999834 0.6019588683 0.0000411151
0.8 0.5940004500 0.5939363938 0.0000640562
0.9 0.5860057138 0.5858875983 0.0001181155