Theory and Modern Applications
From: Discrete monotone method for space-fractional nonlinear reaction–diffusion equations
τ = 5 × 10−4 | τ = 2.5 × 10−4 | τ = 1.25 × 10−4 | ||||
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h | \(\epsilon _{t, h}\) | \(\rho _{h}\) | \(\epsilon _{t, h}\) | \(\rho _{h}\) | \(\epsilon _{t, h}\) | \(\rho _{h}\) |
T = 1 | ||||||
2/20 | 2.72891640 × 10−3 | − | 7.38903899 × 10−4 | − | 1.92801667 × 10−4 | − |
2/21 | 6.08617515 × 10−4 | 2.16472044 | 1.53496126 × 10−4 | 2.26718449 | 4.23532511 × 10−5 | 2.18657290 |
2/22 | 1.23264181 × 10−4 | 2.30378222 | 3.31398131 × 10−5 | 2.21156488 | 9.55526103 × 10−6 | 2.14810553 |
2/23 | 2.40756903 × 10−5 | 2.35610456 | 6.97944970 × 10−6 | 2.24738027 | 2.24943767 × 10−6 | 2.08673089 |
2/24 | 5.35953443 × 10−6 | 2.16739758 | 1.57552357 × 10−6 | 2.14728195 | 5.00208668 × 10−7 | 2.16896243 |
T = 10 | ||||||
2/20 | 2.80627843 × 10−3 | − | 7.48551627 × 10−4 | − | 2.18637328 × 10−4 | − |
2/21 | 5.82837716 × 10−4 | 2.26749201 | 1.66642570 × 10−4 | 2.16734482 | 5.11309655 × 10−5 | 2.09627056 |
2/22 | 1.29375821 × 10−4 | 2.17152622 | 3.94539680 × 10−5 | 2.07851469 | 1.13824890 × 10−5 | 2.16738120 |
2/23 | 2.71945685 × 10−5 | 2.25017758 | 9.26898876 × 10−6 | 2.08968655 | 2.60012534 × 10−6 | 2.13016299 |
2/24 | 6.35975778 × 10−6 | 2.09627481 | 2.13604753 × 10−6 | 2.11746820 | 6.21903759 × 10−7 | 2.06381793 |
T = 50 | ||||||
2/20 | 2.87820224 × 10−3 | − | 7.53867720 × 10−4 | − | 2.24422947 × 10−4 | − |
2/21 | 6.50328970 × 10−4 | 2.14592637 | 1.66761373 × 10−4 | 2.17652624 | 5.03484551 × 10−5 | 2.15620078 |
2/22 | 1.53265284 × 10−4 | 2.08513874 | 3.84354956 × 10−5 | 2.11727398 | 1.18548423 × 10−5 | 2.08647103 |
2/23 | 3.65707445 × 10−5 | 2.06726905 | 9.18431827 × 10−6 | 2.06519473 | 2.82647735 × 10−6 | 2.06839944 |
2/24 | 8.84445865 × 10−6 | 2.04784425 | 2.22227666 × 10−6 | 2.04713420 | 6.81731460 × 10−7 | 2.05172967 |