Table 7 Comparison of LHPM and HPM results for different \({M}_{p}\) when \(\alpha =4.0\), \(\beta =0.05\), \({M}_{g}=0.5,{S}_{q}=-0.2\).
From: Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method
Parameter | \(\eta\) | Solution | Residual error | ||
|---|---|---|---|---|---|
HPM56 | LHPM | HPM56 | LHPM | ||
\({M}_{p}=1.0\) | \(0.1\) | \(0.14938\) | \(0.14938\) | \(2.87\times 1{0}^{-9}\) | \(2.34\times 1{0}^{-15}\) |
\(0.3\) | \(0.43620\) | \(0.43620\) | \(2.56\times 1{0}^{-9}\) | \(5.16\times 1{0}^{-12}\) | |
\(0.5\) | \(0.68716\) | \(0.68716\) | \(6.02\times 1{0}^{-9}\) | \(1.86\times 1{0}^{-10}\) | |
\(0.7\) | \(0.87827\) | \(0.87827\) | \(6.00\times 1{0}^{-9}\) | \(1.98\times 1{0}^{-9}\) | |
\(0.9\) | \(0.98546\) | \(0.98546\) | \(1.14\times 1{0}^{-8}\) | \(1.16\times 1{0}^{-8}\) | |
\({M}_{p}=1.7\) | \(0.1\) | \(0.14930\) | \(0.14930\) | \(4.79\times 1{0}^{-8}\) | \(1.02\times 1{0}^{-14}\) |
\(0.3\) | \(0.43599\) | \(0.43599\) | \(8.64\times 1{0}^{-8}\) | \(2.24\times 1{0}^{-11}\) | |
\(0.5\) | \(0.68692\) | \(0.68692\) | \(1.60\times 1{0}^{-10}\) | \(8.05\times 1{0}^{-10}\) | |
\(0.7\) | \(0.87812\) | \(0.87812\) | \(7.43\times 1{0}^{-8}\) | \(8.54\times 1{0}^{-9}\) | |
\(0.9\) | \(0.98543\) | \(0.98543\) | \(3.80\times 1{0}^{-9}\) | \(4.99\times 1{0}^{-8}\) | |
