Skip to main content

Table 1 Comparison between the 10th-order approximate solution of Eq. (20) 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

0.3

0.9668943972

0.9668943972

\(0.0\times 10^{-10}\)

 0.4

0.3

0.9666473343

0.9666473342

\(1.0\times 10^{-10}\)

 0.5

0.6

0.8809364777

0.8809364778

\(1.0\times 10^{-10}\)

 0.7

0.8

0.8111155787

0.8111155801

\(1.4\times 10^{-9}\)