Theory and Modern Applications
Table 8 Comparison of three schemes calculation time for \(r=1.2\) at \(t=0.5\)
From: A new parallel algorithm for solving parabolic equations
h | Algorithm 2 | C-N scheme | ASC-N scheme |
|---|---|---|---|
1/37 (m − 1 = 36 = 6K, K = 6) | \( 16.4121~\mbox{s} \) | \( 20.2625~\mbox{s} \) | \( 16.7089~\mbox{s} \) |
1/49 (m − 1 = 48 = 6K, K = 8) | \( 41.4226~\mbox{s} \) | \( 49.9863~\mbox{s} \) | \( 41.0513~\mbox{s} \) |
1/61 (m − 1 = 60 = 6K, K = 10) | \( 148.2623~\mbox{s} \) | \( 175.2632~\mbox{s} \) | \( 146.0665~\mbox{s} \) |
1/91 (m − 1 = 90 = 6K, K = 15) | \( 981.5628~\mbox{s} \) | \( 1167.2047~\mbox{s} \) | \( 966.9273~\mbox{s} \) |