Описание тестирования программ
4.1 Тестовые примеры и полученные результаты
1. – константа, – константа, – константа.
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,
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Расчётная область:
Полученное решение |
Точное решение |
Погрешность |
9.000000000000000e+000 |
9.000000000000000E+00 |
0.000000000000000E+00 |
9.000000000000002e+000 |
9.000000000000000E+00 |
0.000000000000000E+00 |
9.000000000000002e+000 |
9.000000000000000E+00 |
0.000000000000000E+00 |
9.000000000000002e+000 |
9.000000000000000E+00 |
0.000000000000000E+00 |
9.000000000000004e+000 |
9.000000000000000E+00 |
0.000000000000000E+00 |
8.999999999999995e+000 |
9.000000000000000E+00 |
1.065814103640150E-14 |
8.999999999999998e+000 |
9.000000000000000E+00 |
1.065814103640150E-14 |
8.999999999999993e+000 |
9.000000000000000E+00 |
1.065814103640150E-14 |
9.000000000000011e+000 |
9.000000000000000E+00 |
1.065814103640150E-14 |
2. – линейная, – нулевая константа, – константа.
,
,
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Краевые
условия:
,
Полученное решение |
Точное решение |
Погрешность |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
3.00000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
4.99999999999999E+00 |
5.000000000000000E+00 |
9.769962616701380E-15 |
3.00000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
8.99999999999999E+00 |
9.000000000000000E+00 |
1.065814103640150E-14 |
1.50000000000000E+01 |
1.500000000000000E+01 |
0.000000000000000E+00 |
4.99999999999999E+00 |
5.000000000000000E+00 |
9.769962616701380E-15 |
1.50000000000000E+01 |
1.500000000000000E+01 |
0.000000000000000E+00 |
2.49999999999999E+01 |
2.500000000000000E+01 |
9.947598300641400E-14 |
3. – линейная, – линейная функция, – константа.
,
,
,
Краевые
условия:
,
Полученное решение |
Точное решение |
Погрешность |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
2.99999999999999E+00 |
3.000000000000000E+00 |
1.021405182655140E-14 |
4.99999999999999E+00 |
5.000000000000000E+00 |
9.769962616701380E-15 |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
3.00000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
4.99999999999999E+00 |
5.000000000000000E+00 |
9.769962616701380E-15 |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
2.99999999999999E+00 |
3.000000000000000E+00 |
1.021405182655140E-14 |
4.99999999999999E+00 |
5.000000000000000E+00 |
9.769962616701380E-15 |
4. – линейная, – квадратичная функция, – константа.
,
,
,
Краевые
условия:
,
Полученное решение |
Точное решение |
Погрешность |
1.000000000000000E+00 |
1.000000000000000E+00 |
0.000000000000000E+00 |
3.000000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
5.000000000000000E+00 |
5.000000000000000E+00 |
0.000000000000000E+00 |
1.000000000000000E+00 |
1.000000000000000E+00 |
0.000000000000000E+00 |
3.000000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
5.000000000000000E+00 |
5.000000000000000E+00 |
0.000000000000000E+00 |
1.000000000000000E+00 |
1.000000000000000E+00 |
0.000000000000000E+00 |
3.000000000000000E+00 |
3.000000000000000E+00 |
0.000000000000000E+00 |
5.000000000000000E+00 |
5.000000000000000E+00 |
0.000000000000000E+00 |
5. – квадратичная, – константа, – константа.
,
,
,
Краевые
условия:
,
Полученное решение |
Точное решение |
Погрешность |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
8.19849971572693E+00 |
9.000000000000000E+00 |
8.015002842730700E-01 |
2.43650286098653E+01 |
2.500000000000000E+01 |
6.349713901347020E-01 |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
6.66391128708283E+00 |
9.000000000000000E+00 |
2.336088712917170E+00 |
2.26113424337295E+01 |
2.500000000000000E+01 |
2.388657566270500E+00 |
9.99999999999999E-01 |
1.000000000000000E+00 |
9.992007221626410E-16 |
8.19849971572693E+00 |
9.000000000000000E+00 |
8.015002842730700E-01 |
2.43650286098653E+01 |
2.500000000000000E+01 |
6.349713901347020E-01 |