Table 3 Comparison between the 5th-order approximate solution of Eq. (29) and the exact solution for \(\alpha =1\)
From: A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
x | t | \(u_{exa}\) | \(u_{NSTIM}\) | \(|u_{exa}-u_{5app}|\) |
|---|---|---|---|---|
\(\alpha =1\) | ||||
0.2 | 0.3 | 1.138828383 | 1.138828331 | 0.000000052 |
0.4 | 0.5 | 1.506817785 | 1.506807822 | 0.000009963 |
0.3 | 0.6 | 1.568312186 | 1.568253566 | 0.000058620 |
0.7 | 0.8 | 3.095656500 | 3.094024665 | 0.001631835 |