Table 2 The absolute relative error for Example 1

\(x\)

\(t = 1\)

\(0.1\)

\(1.3965 \times 10^{ - 4}\)

\(3.27534 \times 10^{ - 6}\)

\(0.2\)

\(2.79299 \times 10^{ - 4}\)

\(6.55068 \times 10^{ - 6}\)

\(0.3\)

\(4.18949 \times 10^{ - 4}\)

\(9.82602 \times 10^{ - 6}\)

\(0.4\)

\(5.58599 \times 10^{ - 4}\)

\(1.31014 \times 10^{ - 5}\)

\(0.5\)

\(6.98249 \times 10^{ - 4}\)

\(1.63767 \times 10^{ - 5}\)

\(0.6\)

\(8.37898 \times 10^{ - 4}\)

\(1.9652 \times 10^{ - 5}\)

\(0.7\)

\(9.77548 \times 10^{ - 4}\)

\(2.29274 \times 10^{ - 5}\)

\(0.8\)

\(1.1172 \times 10^{ - 3}\)

\(2.62027 \times 10^{ - 5}\)

\(0.9\)

\(1.25685 \times 10^{ - 3}\)

\(2.94781 \times 10^{ - 5}\)

\(1\)

\(1.3965 \times 10^{ - 3}\)

\(3.27534 \times 10^{ - 5}\)

The time elapsed of the program that calculates the solution

\(5.3183\) s

\(3.6548\) s