Research Article
A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems
Table 3
Absolute error between the NIS results and the exact results of
along
-space and
at various points of
for Example 3.
| | | Approximate solution | Exact solution | Absolute error |
| 0.25 | 1 | 0.0000179321 | 0.0000179321 | 00000 | 1.25 | 0.0000244433 | 0.0000244433 | 00000 | 1.50 | 0.0000324902 | 0.0000324902 | 00000 | 1.75 | 0.0000425782 | 0.0000425783 | | 2 | 0.0000553407 | 0.0000553415 | |
| 0.50 | 1 | 0.000286914 | 0.000286914 | 00000 | 1.25 | 0.000391093 | 0.000391094 | | 1.50 | 0.000519843 | 0.000519844 | | 1.75 | 0.000681251 | 0.000681254 | | 2 | 0.000885451 | 0.00088564 | |
| 0.75 | 1 | 0.0014525 | 0.0014525 | 00000 | 1.25 | 0.00197991 | 0.00197991 | 00000 | 1.50 | 0.00263171 | 0.00263171 | 00000 | 1.75 | 0.00344883 | 0.00344885 | | 2 | 0.0044826 | 0.00448266 | |
| 1 | 1 | 0.00459063 | 0.00459063 | 00000 | 1.25 | 0.0062575 | 0.0062575 | 00000 | 1.50 | 0.00831749 | 0.0083175 | | 1.75 | 0.0109 | 0.0109001 | | 2 | 0.0141672 | 0.0141674 | |
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