Table 3 Numerical results for Example 1, where \(p_{1}=2, p_{2}=1\) and boundary points \(\underline{\vartheta }_{0}(y,\xi ),\underline{\vartheta }_{1}(y,\xi ),\overline{\vartheta }_{0}(y,\xi ),\overline{\vartheta }_{1}(y,\xi )\) at different values of uncertainty \(\xi\) and fractional values \(\eta =1/5\), \(\eta =3/4\).
\(\xi\) | \({\underline{p}}_{3}\) | \(\eta =1/5\) | \(\eta =3/4\) | ||
|---|---|---|---|---|---|
\(\underline{\vartheta }_0(y,\xi )\) | \(\underline{\vartheta }_1(y,\xi )\) | \(\underline{\vartheta }_0(y,\xi )\) | \(\underline{\vartheta }_1(y,\xi )\) | ||
0.2 | -0.8 | 0.387 | -1.575 | 0.353 | -1.507 |
0.5 | -0.5 | 0.242 | -0.985 | 0.221 | -0.942 |
0.7 | -0.3 | 0.145 | -0.590 | 0.132 | -0.565 |
\(\xi\) | \({\overline{p}}_{3}\) | \(\overline{\vartheta }_0(y,\xi )\) | \(\overline{\vartheta }_1(y,\xi )\) | \(\overline{\vartheta }_0(y,\xi )\) | \(\overline{\vartheta }_1(y,\xi )\) |
0.2 | 0.8 | -0.387 | 1.575 | -0.353 | 1.507 |
0.5 | 0.5 | -0.242 | 0.985 | -0.221 | 0.942 |
0.7 | 0.7 | -0.145 | 0.590 | -0.132 | 0.565 |