Research Article
Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Table 4
The approximate solutions for different values of
using the two numerical schemes
, , corresponding to Problem 3.
| | | | | | CIM | SM | CIM | SM | CIM | SM | CIM | SM |
| 0.1 | 1.1052 | 1.1054 | 1.2491 | 1.2501 | 1.4114 | 1.4113 | 1.5894 | 1.5917 | 0.2 | 1.2214 | 1.2223 | 1.3893 | 1.3896 | 1.5744 | 1.5758 | 1.7719 | 1.7730 | 0.3 | 1.3499 | 1.3506 | 1.5383 | 1.5398 | 1.7426 | 1.7441 | 1.9558 | 1.9571 | 0.4 | 1.4918 | 1.4929 | 1.6994 | 1.6996 | 1.9213 | 1.9226 | 2.1492 | 2.1496 | 0.5 | 1.6487 | 1.6494 | 1.8749 | 1.8751 | 2.1139 | 2.1157 | 2.3560 | 2.3575 | 0.6 | 1.8221 | 1.8223 | 2.0667 | 2.0678 | 2.3229 | 2.3245 | 2.5795 | 2.5795 | 0.7 | 2.0138 | 2.0145 | 2.2771 | 2.2781 | 2.5508 | 2.5520 | 2.8226 | 2.8241 | 0.8 | 2.2255 | 2.2261 | 2.5082 | 2.5086 | 2.8003 | 2.8014 | 3.0880 | 3.0888 | 0.9 | 2.4596 | 2.4599 | 2.7623 | 2.7633 | 3.0738 | 3.0753 | 3.3786 | 3.3770 | 1 | 2.7183 | 2.7183 | 3.0422 | 3.0420 | 3.3742 | 3.3743 | 3.6974 | 3.6982 |
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