Table 12 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.2

$\begin{array}{l}{y}_1=0.04\\ y_2=0.01\\ y_3=0.0325\\ y_4=0.015625\\ y_5=0.0282925\\ y_6=0.018789062\\ y_7=0.025908203\\ y_8=0.020568847\\ y_9=0.024573364\\ y_{10}=0.021569976\\ y_{11}=0.023822517\end{array}$

$\begin{array}{l}{y}_1=0.04\\ y_2=0.03\\ y_3=0.0325\\ y_4=0.031875\\ y_5=0.03203125\\ y_6=0.031992187\\ y_7=0.032001953\\ y_8=0.031999511\\ y_9=0.032000122\\ y_{10}=0.031999969\\ y_{11}=0.032000007\end{array}$

$\begin{array}{l}{y}_1=0.04\\ y_2=0.03\\ y_3=0.0375\\ y_4=0.035625\\ y_5=0.03703125\\ y_6=0.036679687\\ y_7=0.036943359\\ y_8=0.036877441\\ y_9=0.036926879\\ y_{10}=0.03691452\\ y_{11}=0.036923789\end{array}$

x = 0.4

$\begin{array}{l}{y}_1=0.16\\ y_2=0.04\\ y_3=0.13\\ y_4=0.0625\\ y_5=0.113125\\ y_6=0.075156249\\ y_7=0.103632812\\ y_8=0.08227539\\ y_9=0.098293456\\ y_{10}=0.086279907\\ y_{11}=0.095290069\end{array}$

$\begin{array}{l}{y}_1=0.16\\ y_2=0.12\\ y_3=0.13\\ y_4=0.1275\\ y_5=0.128125\\ y_6=0.127968747\\ y_7=0.128007812\\ y_8=0.127998046\\ y_9=0.128000488\\ y_{10}=0.127999877\\ y_{11}=0.128000488\end{array}$

$\begin{array}{l}{y}_1=0.16\\ y_2=0.12\\ y_3=0.15\\ y_4=0.1425\\ y_5=0.148125\\ y_6=0.146717749\\ y_7=0.147773437\\ y_8=0.147509765\\ y_9=0.147707519\\ y_{10}=0.147658081\\ y_{11}=0.147695159\end{array}$

x = 0.5

$\begin{array}{l}{y}_1=0.25\\ y_2=0.0625\\ y_3=0.203125\\ y_4=0.09765625\\ y_5=0.176757812\\ y_6=0.11743164\\ y_7=0.161926269\\ y_8=0.128555297\\ y_9=0.153583526\\ y_{10}=0.134812354\\ y_{11}=0.148890733\end{array}$

$\begin{array}{l}{y}_1=0.25\\ y_2=0.1875\\ y_3=0.203125\\ y_4=0.19921875\\ y_5=0.200195312\\ y_6=0.199951171\\ y_7=0.200012207\\ y_8=0.199996949\\ y_9=0.200000762\\ y_{10}=0.199999809\\ y_{11}=0.200000047\end{array}$

$\begin{array}{l}{y}_1=0.25\\ y_2=0.1875\\ y_3=0.234375\\ y_4=0.22265625\\ y_5=0.231445312\\ y_6=0.229248046\\ y_7=0.230895996\\ y_8=0.230484008\\ y_9=0.230792999\\ y_{10}=0.230715751\\ y_{11}=0.230773687\end{array}$