Research Article
A New Efficient Hybrid Method Based on FEM and FDM for Solving Burgers’ Equation with Forcing Term
Table 1
Solutions of Example
1 for
, , , and
at different times.
| | () | () | () | | TDFEM2 | TDFEM3 | TDFEM4 | Exact | TDFEM2 | TDFEM3 | TDFEM4 | Exact | TDFEM2 | TDFEM3 | TDFEM4 | Exact |
| 0.1 | 0.0588 | 0.0588 | 0.0588 | 0.0588 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0317 | 0.0310 | 0.0308 | 0.0308 | 0.3 | 0.1765 | 0.1765 | 0.1765 | 0.1765 | 0.1200 | 0.1200 | 0.1200 | 0.1200 | 0.0928 | 0.0924 | 0.0923 | 0.0923 | 0.5 | 0.2971 | 0.2971 | 0.2941 | 0.2941 | 0.2000 | 0.2000 | 0.2000 | 0.2000 | 0.1545 | 0.1540 | 0.1539 | 0.1539 | 0.7 | 0.2800 | 0.2800 | 0.2800 | 0.2800 | 0.2800 | 0.2800 | 0.2800 | 0.2800 | 0.2155 | 0.2155 | 0.2154 | 0.2154 | 0.9 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1115 | 0.1113 | 0.1113 | 0.1113 | | | | | — | | | | — | | | | — | | | | | — | | | | — | | | | — | CPU (s) | 0.20613 | 0.12145 | 0.09231 | — | 0.32181 | 0.19442 | 0.10135 | — | 0.96372 | 0.68208 | 0.23647 | — |
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