Research Article
A New Efficient Hybrid Method Based on FEM and FDM for Solving Burgers’ Equation with Forcing Term
Table 2
Solutions of Example
1 for
, , , and
at different times.
| | () | () | () | | TDFEM2 | TDFEM3 | TDFEM4 | Exact | TDFEM2 | TDFEM3 | TDFEM4 | Exact | TDFEM2 | TDFEM3 | TDFEM4 | Exact |
| 0.1 | 0.0285 | 0.0286 | 0.0286 | 0.0286 | 0.0200 | 0.0200 | 0.0200 | 0.0200 | 0.0081 | 0.0083 | 0.0083 | 0.0083 | 0.3 | 0.0856 | 0.0857 | 0.0857 | 0.0857 | 0.0600 | 0.0600 | 0.0600 | 0.0600 | 0.0252 | 0.0250 | 0.0250 | 0.0250 | 0.5 | 0.1428 | 0.1429 | 0.1429 | 0.1429 | 0.9998 | 0.1000 | 0.1000 | 0.1000 | 0.0418 | 0.0417 | 0.0417 | 0.0417 | 0.7 | 0.1999 | 0.2000 | 0.2000 | 0.2000 | 0.1399 | 0.1400 | 0.1400 | 0.1400 | 0.0580 | 0.0583 | 0.0583 | 0.0583 | 0.9 | 0.2572 | 0.2571 | 0.2571 | 0.2571 | 0.1798 | 0.1800 | 0.1800 | 0.1800 | 0.0749 | 0.0750 | 0.0750 | 0.0750 | | | | | — | | | | — | | | | | | | | | — | | | | — | | | | | CPU (s) | 0.42438 | 0.25004 | 0.19015 | — | 0.66255 | 0.40027 | 0.20866 | — | 1.98713 | 1.40428 | 0.68685 | |
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