Table 4 Comparison between the 10th-order approximate solution of Eq. (33) and the exact solution for \(\alpha =1\)
From: A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
x | t | \(u_{exa}\) | \(u_{NSTIM}\) | \(|u_{exa}-u_{10app}|\) |
|---|---|---|---|---|
\(\alpha =1\) | ||||
0.2 | 0.2 | 1.491824698 | 1.491824698 | \(0.0\times 10^{-9}\) |
0.4 | 0.3 | 2.013752707 | 2.013752707 | \(0.0\times 10^{-9}\) |
0.6 | 0.4 | 2.718281828 | 2.718281129 | \(1.0\times 10^{-9}\) |
0.7 | 0.8 | 4.481689070 | 4.481689066 | \(4.0\times 10^{-9}\) |