Theory and Modern Applications
N/Δt | \(\varepsilon _{1}=10^{-4}\) | \(\varepsilon _{1}=10^{-6}\) | ||
---|---|---|---|---|
Shishkin mesh | Adaptive mesh | Shishkin mesh | Adaptive mesh | |
\(32/\frac{1}{20}\) | 4.8924e − 01 | 1.6708e − 01 | 4.9039e − 01 | 1.7981e − 01 |
0.0917 | 0.7887 | 0.0920 | 0.8831 | |
\(64/\frac{1}{40}\) | 4.5911e − 01 | 9.6715e − 02 | 4.6011e − 01 | 9.7493e − 02 |
0.0354 | 0.8874 | 0.0357 | 0.8709 | |
\(128/\frac{1}{80}\) | 4.4799e − 01 | 5.2283e − 02 | 4.4885e − 01 | 5.3310e − 02 |
0.0151 | 0.9177 | 0.0154 | 0.9153 | |
\(256/\frac{1}{160}\) | 4.4334e − 01 | 2.7677e − 02 | 4.4409e − 01 | 2.8267e − 02 |