Theory and Modern Applications
From: Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
Method | ||||
---|---|---|---|---|
x | EFDA | IFDA | FMoL | DM method |
h = π/200, τ = 0.016 | ||||
0.3142 | 0.71389626 | 0.72323636 | 0.71312860 | 0.71947583 |
0.6283 | 1.24037640 | 1.24612454 | 1.24780762 | 1.24680145 |
0.9425 | 1.59030472 | 1.58819777 | 1.59121579 | 1.58946310 |
1.2566 | 1.78102704 | 1.77545588 | 1.77773300 | 1.77701456 |
1.5708 | 1.83207836 | 1.83457607 | 1.83648052 | 1.83573913 |
1.8850 | 1.77206738 | 1.77552773 | 1.77783878 | 1.77713605 |
2.1991 | 1.58670064 | 1.58831821 | 1.59176807 | 1.59042740 |
2.5133 | 1.24770350 | 1.24628205 | 1.25101528 | 1.24589045 |
2.8274 | 0.73840275 | 0.72338189 | 0.72768746 | 0.72902617 |
h = π/400, τ = 0.008 | ||||
0.3142 | 0.71745620 | 0.71869375 | 0.71739547 | 0.71825673 |
0.6283 | 1.24936024 | 1.24673018 | 1.24695142 | 1.24680021 |
0.9425 | 1.58920413 | 1.58824503 | 1.59047160 | 1.58896095 |
1.2566 | 1.77024701 | 1.77730806 | 1.77781163 | 1.77740204 |
1.5708 | 1.83278407 | 1.83479204 | 1.83502709 | 1.83480527 |
1.8850 | 1.77106482 | 1.77732094 | 1.77759317 | 1.77762806 |
2.1991 | 1.59178365 | 1.59003758 | 1.58984672 | 1.58824720 |
2.5133 | 1.24907602 | 1.24506232 | 1.24630048 | 1.24686015 |
2.8274 | 0.71260986 | 0.71746539 | 0.71745204 | 0.71730264 |
h = π/800, τ = 0.004 | ||||
0.3142 | 0.71796578 | 0.71802674 | 0.71796470 | 0.71807628 |
0.6283 | 1.24570889 | 1.24680373 | 1.24670367 | 1.24678390 |
0.9425 | 1.58941153 | 1.58926493 | 1.58922784 | 1.58920036 |
1.2566 | 1.77697364 | 1.77729566 | 1.77740225 | 1.77726490 |
1.5708 | 1.83511650 | 1.83472546 | 1.83480026 | 1.83478660 |
1.8850 | 1.77683902 | 1.77746225 | 1.77748929 | 1.77744028 |
2.1991 | 1.58896130 | 1.58906777 | 1.58887466 | 1.58902267 |
2.5133 | 1.24620755 | 1.24649110 | 1.24657834 | 1.24679221 |
2.8274 | 0.71796274 | 0.71889936 | 0.71803795 | 0.71814852 |