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Theory and Modern Applications

Table 1 Convergence rate of Algorithm 1 for h at \(t=0.4\)

From: A new parallel algorithm for solving parabolic equations

h

\(L^{\infty}\) error

Rate

1/19 (m − 1 = 18 = 6K, K = 3)

4.998746e−4

–

1/25 (m − 1 = 24 = 6K, K = 4)

3.085232e−4

2.0167

1/31 (m − 1 = 30 = 6K, K = 5)

2.002844e−4

1.9955

1/37 (m − 1 = 36 = 6K, K = 6)

1.412289e−4

1.9903