Research Article
Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials
Table 2
The values of exact, approximate, and absolute error values by TMM and PNM for (Plutonium
).
| | | | Exact sol. | Approx. . | Error . | Approx. . | Error . |
| 0.02 | 10 | -1.00 | 0.00400000 | 0.000443078 | 0.000043078 | 0.00446912 | 0.00046912 | -0.60 | 0.00014400 | 0.000140836 | | 0.00202819 | 0.00188419 | -0.20 | 0.00001600 | 0.000020081 | | 0.00264960 | 0.00263360 | 0.20 | 0.00001600 | 0.000020081 | | 0.00483303 | 0.00481703 | 0.60 | 0.00014400 | 0.000140836 | | 0.00797164 | 0.00782764 | 1.00 | 0.00400000 | 0.000443078 | 0.0000430784 | 0.00247804 | 0.00152196 | 20 | -1.00 | 0.00400000 | 0.00046333 | 0.000063339 | 0.00444887 | 0.00044887 | -0.60 | 0.00014400 | 0.00014484 | | 0.00202419 | 0.00188019 | -0.20 | 0.00001600 | 0.00002309 | | 0.00264659 | 0.00263059 | 0.20 | 0.00001600 | 0.00002309 | | 0.00483002 | 0.00481402 | 0.60 | 0.00014400 | 0.00014484 | | 0.00796764 | 0.00782364 | 1.00 | 0.00400000 | 0.00046333 | 0.000063339 | 0.00245778 | 0.00154221 |
| 0.2 | 10 | -1.00 | 0.04000000 | 0.07863996 | 0.038639964 | 0.07372776 | 0.03372776 | -0.60 | 0.01440000 | 0.02389663 | 0.009466379 | 0.02172759 | 0.00732759 | -0.20 | 0.00160000 | 0.00258811 | 0.000988111 | 0.00008157 | 0.00151842 | 0.20 | 0.00160000 | 0.00258811 | 0.000988111 | 0.00226500 | 0.00066500 | 0.60 | 0.01440000 | 0.02389663 | 0.009496637 | 0.01578414 | 0.00138414 | 1.00 | 0.04000000 | 0.07863996 | 0.038639964 | 0.07571884 | 0.03571884 | 20 | -1.00 | 0.04000000 | 0.08232299 | 0.04232299 | 0.07741079 | 0.03741079 | -0.60 | 0.01440000 | 0.02462094 | 0.01022094 | 0.02245190 | 0.00805190 | -0.20 | 0.00160000 | 0.00312893 | 0.001528933 | 0.00045924 | 0.00114075 | 0.20 | 0.00160000 | 0.00312894 | 0.001528933 | 0.00172417 | 0.00012417 | 0.60 | 0.01440000 | 0.02462094 | 0.010220943 | 0.01650845 | 0.00210845 | 1.00 | 0.04000000 | 0.08232299 | 0.042322994 | 0.07940187 | 0.03940187 |
|
|