Research Article
Modified Jacobian Newton Iterative Method: Theory and Applications
Table 10
Numerical
results for the 2D momentum equation with,,
initial condition, and two
iterations per time-step.
| | | | | | | | | | | 1st c. | 1st c. | 1st c. | 1st c. | 2nd c. | 2nd c. | 2nd c. | 2nd c. |
| 1/5 | 1/20 | 0.0027 | 0.0112 | | | 0.0145 | 0.0321 | | | 1/10 | 1/20 | 0.0016 | 0.0039 | 0.7425 | 1.5230 | 0.0033 | 0.0072 | 2.1526 | 2.1519 | 1/20 | 1/20 | 0.0007 | 0.0022 | 1.2712 | 0.8597 | 0.0021 | 0.0042 | 0.6391 | 0.7967 |
| 1/5 | 1/40 | 0.0045 | 0.0148 | | | 0.0288 | 0.0601 | | | 1/10 | 1/40 | 0.0032 | 0.0088 | 0.5124 | 0.7497 | 0.0125 | 0.0239 | 1.2012 | 1.3341 | 1/20 | 1/40 | 0.0014 | 0.0034 | 1.1693 | 1.3764 | 0.0029 | 0.0054 | 2.1263 | 2.1325 |
| 1/5 | 1/80 | 0.0136 | 0.0425 | | | 0.0493 | 0.1111 | | | 1/10 | 1/80 | 0.0080 | 0.0241 | 0.7679 | 0.8197 | 0.0278 | 0.0572 | 0.8285 | 0.9579 | 1/20 | 1/80 | 0.0039 | 0.0113 | 1.0166 | 1.0872 | 0.0115 | 0.0231 | 1.2746 | 1.3058 |
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