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 | 1.57368789 | 1.57372511 | 1.57392168 | 1.57372919 |
0.6283 | 2.16380277 | 2.16386523 | 2.16399150 | 2.16385886 |
0.9425 | 2.33655001 | 2.33663342 | 2.33667019 | 2.33661347 |
1.2566 | 2.38754579 | 2.38764530 | 2.38762011 | 2.38761337 |
1.5708 | 2.39918437 | 2.39929592 | 2.39922930 | 2.39925392 |
1.8850 | 2.38753659 | 2.38766383 | 2.38756809 | 2.38761337 |
2.1991 | 2.33650970 | 2.33667395 | 2.33654916 | 2.33661347 |
2.5133 | 2.16369084 | 2.16393561 | 2.16376674 | 2.16385886 |
2.8274 | 1.57350732 | 1.57381573 | 1.57361994 | 1.57372919 |
h = π/400, τ = 0.008 | ||||
0.3142 | 1.57438633 | 1.57437820 | 1.57435879 | 1.57435676 |
0.6283 | 2.16341461 | 2.16340869 | 2.16339364 | 2.16339412 |
0.9425 | 2.33597962 | 2.33597699 | 2.33597013 | 2.33597013 |
1.2566 | 2.38702266 | 2.38702177 | 2.38701950 | 2.38701864 |
1.5708 | 2.39869212 | 2.39869098 | 2.39869138 | 2.39868980 |
1.8850 | 2.38702107 | 2.38701906 | 2.38702156 | 2.38701864 |
2.1991 | 2.33597346 | 2.33597038 | 2.33597368 | 2.33597013 |
2.5133 | 2.16339880 | 2.16339599 | 2.16339738 | 2.16339412 |
2.8274 | 1.57436187 | 1.57436096 | 1.57436143 | 1.57435676 |
h = π/800, τ = 0.004 | ||||
0.3142 | 1.57400608 | 1.57400734 | 1.57400844 | 1.57400710 |
0.6283 | 2.16262828 | 2.16262984 | 2.16263132 | 2.16263025 |
0.9425 | 2.33531356 | 2.33531372 | 2.33531405 | 2.33531388 |
1.2566 | 2.38648630 | 2.38648729 | 2.38648785 | 2.38648734 |
1.5708 | 2.39820239 | 2.39820243 | 2.39820257 | 2.39820244 |
1.8850 | 2.38648651 | 2.38648731 | 2.38648785 | 2.38648734 |
2.1991 | 2.33531397 | 2.33531392 | 2.33531389 | 2.33531387 |
2.5133 | 2.16263007 | 2.16263026 | 2.16263073 | 2.16263025 |
2.8274 | 1.57400875 | 1.57400804 | 1.57400742 | 1.57400710 |