Research Article

A New Efficient Hybrid Method Based on FEM and FDM for Solving Burgers’ Equation with Forcing Term

Table 6

Comparison of the numerical solutions for Example 1 obtained with various values of for and at with the exact solutions.

Exact
TDFEM2TDFEM3TDFEM4TDFEM2TDFEM3TDFEM4TDFEM2TDFEM3TDFEM4

0.10.0997420.0997470.0997480.0997450.0997510.0997520.0997500.0997520.0997520.099752
0.30.2946100.2946080.2946050.2946070.2946030.2946040.2946010.2946040.2946040.294604
0.50.2500100.2500080.2500040.2500060.2500000.2500000.2500010.2500000.2500000.250000
0.70.0017210.0017250.0017280.0017280.0017300.0017310.0017290.0017310.0017310.001731
0.90.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.0000000.000000