Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation
Publié en ligne: 27 mars 2019
Pages: 35 - 42
Reçu: 14 janv. 2019
Accepté: 21 févr. 2019
© 2019 Asıf Yokuş and Sema Gülbahar, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Comparison of the error norms L2 and L∞ that are obtained using the linearization techniques at t = 1,α = 0.9 for different values of Δt, h.
|
Lin. I
|
Lin. II
|
Lin. III
|
|
L2 ×102 |
L∞ ×102 |
L2 ×102 |
L∞ ×102 |
L2 ×102 |
L∞ ×102 |
Δt = h = 0.001 |
0.00002 |
0.00002 |
0.00566 |
0.05664 |
0.00565 |
0.05659 |
Δt = h = 0.05 |
0.05254 |
0.08344 |
0.64556 |
0.94172 |
0.58516 |
0.84499 |
Δt = h = 0.04 |
0.02957 |
0.05128 |
0.50690 |
0.82106 |
0.47224 |
0.76100 |
Δt = h = 0.03 |
0.01418 |
0.02773 |
0.36800 |
0.68391 |
0.35113 |
0.65086 |
Δt = h = 0.02 |
0.00506 |
0.01186 |
0.23124 |
0.52313 |
0.22502 |
0.50855 |
Δt = h = 0.01 |
0.00088 |
0.00285 |
0.10161 |
0.32318 |
0.10046 |
0.31945 |
Δt = h = 0.2 |
2.44568 |
0.00285 |
3.12756 |
3.78842 |
0.80756 |
1.29370 |
Δt = h = 0.1 |
3.27620 |
0.41645 |
1.31211 |
1.41287 |
0.94027 |
0.94563 |