Theory and Modern Applications
From: Homotopy-Sumudu transforms for solving system of fractional partial differential equations
x | t | ||||||
---|---|---|---|---|---|---|---|
0 | 0.2 | 0.4 | 0.6 | 0.8 | 1 | ||
0 | u | 1.0000 | 1.1712 | 1.3467 | 1.5670 | 1.8569 | 2.2501 |
Eu | 0 | 1.110 10−16 | 1.810 10−14 | 3.628 10−12 | 1.069 10−9 | 1.0219 10−7 | |
0.25 | u | 1.2840 | 1.5260 | 1.7759 | 2.0839 | 2.4809 | 3.0088 |
Eu | 1.110 10−16 | 3.331 10−16 | 2.365 10−14 | 4.828 10−12 | 1.363 10−9 | 1.263 10−7 | |
0.5 | u | 1.6487 | 1.9817 | 2.3270 | 2.7476 | 3.2822 | 3.9831 |
Eu | 0 | 5.551 10−17 | 2.903 10−14 | 6.234 10−12 | 1.748 10−9 | 1.504 10−7 | |
0.75 | u | 2.1170 | 2.5668 | 3.0346 | 3.5998 | 4.3110 | 5.2340 |
Eu | 0 | 6.106 10−16 | 3.325 10−14 | 8.418 10−12 | 2.253 10−9 | 1.888 10−7 | |
1 | u | 2.7183 | 3.3180 | 3.9432 | 4.6940 | 5.6321 | 6.8402 |
Eu | 0 | 2.220 10−16 | 4.0468 10−14 | 1.0858 10−11 | 2.895 10−9 | 2.451 10−7 | |
0 | v | 1.0000 | 0.44309 | 0.37067 | 0.34020 | 0.33444 | 0.35088 |
Ev | 0 | 1.110 10−16 | 2.665 10−15 | 2.505 10−12 | 2.906 10−10 | 3.565 10−9 | |
0.25 | v | 0.77880 | 0.31806 | 0.26122 | 0.24137 | 0.24388 | 0.26700 |
Ev | 1.110 10−16 | 1.110 10−16 | 2.665 10−15 | 2.240 10−12 | 2.628 10−10 | 5.915 10−9 | |
0.5 | v | 0.60653 | 0.22068 | 0.17598 | 0.16441 | 0.17335 | 0.20168 |
Ev | 0 | 2.220 10−16 | 2.776 10−15 | 2.120 10−12 | 2.205 10−10 | 6.812 10−9 | |
0.75 | v | 0.47237 | 0.14484 | 0.10959 | 0.10446 | 0.11842 | 0.15080 |
Ev | 0 | 3.331 10−16 | 3.553 10−15 | 1.892 10−12 | 1.778 10−10 | 9.974 10−9 | |
1 | v | 0.36788 | 0.085772 | 0.057893 | 0.057780 | 0.075645 | 0.11118 |
Ev | 0 | 2.220 10−16 | 4.996 10−15 | 1.860 10−12 | 1.895 10−10 | 9.886 10−9 |