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 | TDFEM2 | TDFEM3 | TDFEM4 | TDFEM2 | TDFEM3 | TDFEM4 | TDFEM2 | TDFEM3 | TDFEM4 |
| 0.1 | 0.099742 | 0.099747 | 0.099748 | 0.099745 | 0.099751 | 0.099752 | 0.099750 | 0.099752 | 0.099752 | 0.099752 | 0.3 | 0.294610 | 0.294608 | 0.294605 | 0.294607 | 0.294603 | 0.294604 | 0.294601 | 0.294604 | 0.294604 | 0.294604 | 0.5 | 0.250010 | 0.250008 | 0.250004 | 0.250006 | 0.250000 | 0.250000 | 0.250001 | 0.250000 | 0.250000 | 0.250000 | 0.7 | 0.001721 | 0.001725 | 0.001728 | 0.001728 | 0.001730 | 0.001731 | 0.001729 | 0.001731 | 0.001731 | 0.001731 | 0.9 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
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