Table 3 The absolute relative error for Example 2

\(x\)

\(t = 0.2\)

\(0.1\)

\(3.71362 \times 10^{ - 11}\)

\(2.08449 \times 10^{ - 11}\)

\(0.2\)

\(2.48603 \times 10^{ - 11}\)

\(1.21807 \times 10^{ - 11}\)

\(0.3\)

\(8.57263 \times 10^{ - 12}\)

\(2.654 \times 10^{ - 12}\)

\(0.4\)

\(1.19764 \times 10^{ - 11}\)

\(7.77757 \times 10^{ - 12}\)

\(0.5\)

\(3.70427 \times 10^{ - 11}\)

\(1.91576 \times 10^{ - 11}\)

\(0.6\)

\(6.68882 \times 10^{ - 11}\)

\(3.15307 \times 10^{ - 11}\)

\(0.7\)

\(1.01782 \times 10^{ - 10}\)

\(4.49427 \times 10^{ - 11}\)

\(0.8\)

\(1.41997 \times 10^{ - 10}\)

\(5.94405 \times 10^{ - 11}\)

\(0.9\)

\(1.87817 \times 10^{ - 10}\)

\(7.50722 \times 10^{ - 11}\)

\(1\)

\(2.3953 \times 10^{ - 10}\)

\(9.18868 \times 10^{ - 11}\)

The time elapsed of the program that calculates the solution

\(9.7154\) s

\(4.5263\) s