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Table 3 The absolute relative error for Example 2

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
\(x\) \(t = 0.2\)
\(0.1\) \(3.71362 \times 10^{ - 11}\) \(2.08449 \times 10^{ - 11}\)
\(0.2\) \(2.48603 \times 10^{ - 11}\) \(1.21807 \times 10^{ - 11}\)
\(0.3\) \(8.57263 \times 10^{ - 12}\) \(2.654 \times 10^{ - 12}\)
\(0.4\) \(1.19764 \times 10^{ - 11}\) \(7.77757 \times 10^{ - 12}\)
\(0.5\) \(3.70427 \times 10^{ - 11}\) \(1.91576 \times 10^{ - 11}\)
\(0.6\) \(6.68882 \times 10^{ - 11}\) \(3.15307 \times 10^{ - 11}\)
\(0.7\) \(1.01782 \times 10^{ - 10}\) \(4.49427 \times 10^{ - 11}\)
\(0.8\) \(1.41997 \times 10^{ - 10}\) \(5.94405 \times 10^{ - 11}\)
\(0.9\) \(1.87817 \times 10^{ - 10}\) \(7.50722 \times 10^{ - 11}\)
\(1\) \(2.3953 \times 10^{ - 10}\) \(9.18868 \times 10^{ - 11}\)
  The time elapsed of the program that calculates the solution
  \(9.7154\) s \(4.5263\) s