Theory and Modern Applications
γ | Our method at (N,M,K) with \(\alpha _{1}=\beta _{1}=\alpha _{2}=\beta _{2}=\frac{1}{2}\), \(\alpha _{3}=\beta _{3}=0\) | |||
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(4,4,12) | (4,4,18) | \((\frac{1}{6},\frac {1}{6},\frac{1}{24})\) | \((\frac{1}{6},\frac{1}{6},\frac{1}{28})\) | |
0.55 | 2.871835 × 10−4 | 8.137372 × 10−5 | 1.9487123 × 10−5 | 1.059474 × 10−5 |
γ | Compact finite difference scheme [44] | |||
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\((\frac{1}{8},\frac{1}{8},\frac {1}{10})\) | \((\frac{1}{8},\frac{1}{8},\frac{1}{80})\) | \((\frac {1}{8},\frac{1}{8},\frac{1}{320})\) | \((\frac{1}{8},\frac{1}{8},\frac {1}{640})\) | |
0.55 | 1.2126 × 10−3 | 1.4427 × 10−4 | 3.5483 × 10−5 | 1.7808 × 10−5 |