Research Article
Modified Jacobian Newton Iterative Method: Theory and Applications
Table 8
Numerical
results for the 1D momentum equation wit ,
initial conditio,
two iterations per time-step an using Newton iterative method.
| | | | | | |
| 1/10 | 1/20 | 0.0180 | 0.0435 | | | 1/20 | 1/20 | 0.0120 | 0.0276 | 0.5867 | 0.6550 | 1/40 | 1/20 | 0.0095 | 0.0227 | 0.3311 | 0.2870 | 1/80 | 1/20 | 0.0085 | 0.0208 | 0.1706 | 0.1231 |
| 1/10 | 1/40 | 0.0172 | 0.0459 | | | 1/20 | 1/40 | 0.0125 | 0.0305 | 0.4652 | 0.5884 | 1/40 | 1/40 | 0.0108 | 0.0253 | 0.2366 | 0.2698 | 1/80 | 1/40 | 0.0097 | 0.0235 | 0.1191 | 0.1111 |
| 1/10 | 1/80 | 0.0166 | 0.0475 | | | 1/20 | 1/80 | 0.0132 | 0.0338 | 0.3327 | 0.4917 | 1/40 | 1/80 | 0.0119 | 0.0280 | 0.1640 | 0.2734 | 1/80 | 1/80 | 0.0112 | 0.0265 | 0.0802 | 0.0779 |
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