Research Article
A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems
Table 1
Absolute error between the NIS results and the exact results of
along
-space at various points of
for Example 1.
| | | Approximate solution | Exact solution | Absolute error |
| 0.25 | 0.2 | 0.377312 | 0.377312 | 00000 | 0.4 | 0.695055 | 0.695055 | 00000 | 0.6 | 0.903064 | 0.903064 | 00000 | 0.8 | 0.968503 | 0.968499 | | 1 | 0.881078 | 0.88103 | 0.000048 |
| 0.50 | 0.2 | 0.341747 | 0.341747 | 00000 | 0.4 | 0.629539 | 0.629539 | 00000 | 0.6 | 0.817941 | 0.817941 | 00000 | 0.8 | 0.877212 | 0.877208 | | 1 | 0.798627 | 0.797984 | 0.000043 |
| 0.75 | 0.2 | 0.284933 | 0.284933 | 00000 | 0.4 | 0.524881 | 0.524881 | 00000 | 0.6 | 0.681963 | 0.681963 | 00000 | 0.8 | 0.73138 | 0.731377 | | 1 | 0.665359 | 0.665323 | 0.000036 |
| 1 | 0.2 | 0.210404 | 0.210404 | 00000 | 0.4 | 0.387589 | 0.387589 | 00000 | 0.6 | 0.503583 | 0.503583 | 00000 | 0.8 | 0.540074 | 0.540072 | | 1 | 0.491323 | 0.491295 | 0.000028 |
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