Theory and Modern Applications
Table 1 Convergence rates in \(\pmb{L^{2}}\) and \(\pmb{H^{1}}\) norms
From: Finite difference-finite element approach for solving fractional Oldroyd-B equation
Number of elements | \(\boldsymbol{\|u - u_{\mathrm{ex}} \|_{L^{2}(\Omega)}}\) | \(\boldsymbol{\| u - u_{\mathrm{ex}} \|_{H^{1}(\Omega)}}\) |
|---|---|---|
60 | 5.0077 × 10−3 | 9.5930 × 10−2 |
70 | 4.7797 × 10−3 | 8.2534 × 10−2 |
80 | 4.6342 × 10−3 | 7.2526 × 10−2 |
90 | 4.5357 × 10−3 | 6.4777 × 10−2 |
100 | 4.4659 × 10−3 | 5.8608 × 10−2 |
110 | 4.4146 × 10−3 | 5.3588 × 10−2 |
120 | 4.3758 × 10−3 | 4.9430 × 10−2 |
130 | 4.3458 × 10−3 | 4.5934 × 10−2 |
140 | 4.3220 × 10−3 | 4.2958 × 10−2 |
150 | 4.3029 × 10−3 | 4.0398 × 10−2 |