Numerical Treating of Mixed Integral Equation Two-Dimensional in Surface Cracks in Finite Layers of Materials

Table 1

The values of exact, approximate, and absolute error values by TMM and PNM for (fiber ).

			Exact sol.	Approx. .	Error. .	Approx. .	Error. .
0.02	10	-1.00	0.00400000	0.00045299	0.0000529901	0.00445921	0.00045921
		-0.60	0.00014400	0.00014029		0.00202874	0.00188474
		-0.20	0.00001600	0.00002022		0.00264946	0.00263346
		0.20	0.00001600	0.00002022		0.00483289	0.00481689
		0.60	0.00014400	0.00014029		0.00797219	0.00782819
		1.00	0.00400000	0.00045299	0.0000529901	0.00246812	0.00153187
	20	-1.00	0.00400000	0.00047952	0.0000795200	0.00443268	0.00043268
		-0.60	0.00014400	0.00014464		0.00202439	0.00188039
		-0.20	0.00001600	0.00002348		0.00264620	0.00263020
		0.20	0.00001600	0.00002348		0.00482963	0.00481363
		0.60	0.00014400	0.00014464		0.00796748	0.00782384
		1.00	0.00400000	0.00047952	0.0000795200	0.00244159	0.00155840
0.2	10	-1.00	0.04000000	0.08709172	0.047091725	0.08217952	0.04217952
		-0.60	0.01440000	0.02430491	0.009904913	0.02213587	0.00773587
		-0.20	0.00160000	0.00238484	0.000784841	0.00028484	0.00131515
		0.20	0.00160000	0.00238484	0.000784841	0.00246827	0.00086827
		0.60	0.01440000	0.02430491	0.009904913	0.01619242	0.00179242
		1.00	0.04000000	0.08709172	0.047091725	0.08417060	0.04417060
	20	-1.00	0.04000000	0.09251755	0.05251755	0.08760535	0.04760535
		-0.60	0.01440000	0.02518075	0.01078075	0.02301171	0.00861171
		-0.20	0.00160000	0.00302813	0.00142813	0.00035844	0.00124155
		0.20	0.00160000	0.00302813	0.00142813	0.00182498	0.00022498
		0.60	0.01440000	0.02518075	0.01078075	0.01706826	0.00266826
		1.00	0.04000000	0.09251755	0.05251755	0.08959643	0.04959643