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Table 2 The absolute relative error for Example 1

From: An accelerated solution for some classes of nonlinear partial differential equations

  (ARE) of solution using the standard ADM (ARE) of solution using the proposed version of ADM
\(x\) \(t = 1\)
\(0.1\) \(1.3965 \times 10^{ - 4}\) \(3.27534 \times 10^{ - 6}\)
\(0.2\) \(2.79299 \times 10^{ - 4}\) \(6.55068 \times 10^{ - 6}\)
\(0.3\) \(4.18949 \times 10^{ - 4}\) \(9.82602 \times 10^{ - 6}\)
\(0.4\) \(5.58599 \times 10^{ - 4}\) \(1.31014 \times 10^{ - 5}\)
\(0.5\) \(6.98249 \times 10^{ - 4}\) \(1.63767 \times 10^{ - 5}\)
\(0.6\) \(8.37898 \times 10^{ - 4}\) \(1.9652 \times 10^{ - 5}\)
\(0.7\) \(9.77548 \times 10^{ - 4}\) \(2.29274 \times 10^{ - 5}\)
\(0.8\) \(1.1172 \times 10^{ - 3}\) \(2.62027 \times 10^{ - 5}\)
\(0.9\) \(1.25685 \times 10^{ - 3}\) \(2.94781 \times 10^{ - 5}\)
\(1\) \(1.3965 \times 10^{ - 3}\) \(3.27534 \times 10^{ - 5}\)
  The time elapsed of the program that calculates the solution
  \(5.3183\) s \(3.6548\) s