Research Article
A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems
Table 2
Absolute error between the NIS results and the exact results of
along
-space and
at various points of
for Example 2.
| | | Approximate solution | Exact solution | Absolute error |
| 0.50 | 1 | 0.964469 | 0.964469 | 000000 | 1.25 | 1.07034 | 1.07034 | 000000 | 1.50 | 1.15241 | 1.15241 | 000000 | 1.75 | 1.20946 | 1.20946 | 000000 | 2 | 1.24183 | 1.24183 | 000000 |
| 1 | 1 | 3.36685 | 3.66683 | 000002 | 1.25 | 3.66372 | 3.6637 | 000002 | 1.50 | 3.93487 | 3.93481 | 000002 | 1.75 | 4.17898 | 4.17896 | 000002 | 2 | 4.39642 | 4.3964 | 000002 |
| 1.5 | 1 | 7.93362 | 7.93193 | 0.00169 | 1.25 | 8.50361 | 8.50171 | 0.00190 | 1.50 | 9.06949 | 9.06749 | 0.00200 | 1.75 | 9.63105 | 9.62907 | 0.00198 | 2 | 10.1883 | 10.1865 | 0.00180 |
| 2 | 1 | 15.733 | 15.6947 | 0.03830 | 1.25 | 16.6989 | 16.6557 | 0.04320 | 1.50 | 17.6835 | 17.6381 | 0.04540 | 1.75 | 18.6878 | 18.643 | 0.04480 | 2 | 19.7115 | 19.6701 | 0.04140 |
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