Skip to main content

Theory and Modern Applications

Table 1 The computational cost of the HSP, HEG and HMEG methods \((\sigma =n-1)\)

From: Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation

Method

Per iteration

After convergence

Total operations

HSP

\(21\sigma ^{2} *\mathit{Ite}\)

–

\(21\sigma ^{2} *\mathit{Ite}\)

HEG

\((19(\sigma -1)^{2} +21(2\sigma -1) )*\mathit{Ite}\)

–

\((19(\sigma -1)^{2} +21(2\sigma -1) )*\mathit{Ite}\)

HMEG

\(5.25(\sigma -1)^{2} *\mathit{Ite}\)

\(5.25(3\sigma ^{2} +2\sigma -1)\)

\(5.25(\sigma -1)^{2} *\mathit{Ite}+5.25(3\sigma ^{2} +2\sigma -1)\)