Table 11 The solutions obtained by the new modified Ishikawa iteration method for differential values of λ and γ

x = 0.2

$\begin{array}{l}{y}_1=0.04\\ y_2=0.02\\ y_3=0.03\\ y_4=0.025\\ y_5=0.0275\\ y_6=0.02625\\ y_7=0.026875\\ y_8=0.0265625\\ y_9=0.02671875\\ y_{10}=0.026640625\\ y_{11}=0.026679707\end{array}$

$\begin{array}{l}{y}_1=0.04\\ y_2=0.01\\ y_3=0.025\\ y_4=0.01375\\ y_5=0.019375\\ y_6=0.01515625\\ y_7=0.017265625\\ y_8=0.015683593\\ y_9=0.016474609\\ y_{10}=0.015881347\\ y_{11}=0.016177978\end{array}$

$\begin{array}{l}{y}_1=0.04\\ y_2=0.02\\ y_3=0.025\\ y_4=0.0225\\ y_5=0.023125\\ y_6=0.0228125\\ y_7=0.022890625\\ y_8=0.022851562\\ y_9=0.022861328\\ y_{10}=0.022856445\\ y_{11}=0.022857666\end{array}$

$\begin{array}{l}{y}_1=0.04\\ y_2=0.01\\ y_3=0.0175\\ y_4=0.011875\\ y_5=0.01328125\\ y_6=0.012226562\\ y_7=0.012490234\\ y_8=0.01229248\\ y_9=0.012341918\\ y_{10}=0.01230484\\ y_{11}=0.012314119\end{array}$

x = 0.4

$\begin{array}{l}{y}_1=0.16\\ y_2=0.08\\ y_3=0.12\\ y_4=0.1\\ y_5=0.11\\ y_6=0.105\\ y_7=0.1075\\ y_8=0.10625\\ y_9=0.106875\\ y_{10}=0.1065625\\ y_{11}=0.106718829\end{array}$

$\begin{array}{l}{y}_1=0.16\\ y_2=0.04\\ y_3=0.1\\ y_4=0.055\\ y_5=0.0775\\ y_6=0.060625\\ y_7=0.0690625\\ y_8=0.062734374\\ y_9=0.065898437\\ y_{10}=0.06352539\\ y_{11}=0.064711913\end{array}$

$\begin{array}{l}{y}_1=0.16\\ y_2=0.08\\ y_3=0.1\\ y_4=0.09\\ y_5=0.0925\\ y_6=0.09125\\ y_7=0.0915625\\ y_8=0.091406249\\ y_9=0.091445312\\ y_{10}=0.091445312\\ y_{11}=0.091430664\end{array}$

$\begin{array}{l}{y}_1=0.16\\ y_2=0.04\\ y_3=0.07\\ y_4=0.0475\\ y_5=0.053125\\ y_6=0.048906249\\ y_7=0.049960937\\ y_8=0.049169921\\ y_9=0.049367675\\ y_{10}=0.04921936\\ y_{11}=0.049256479\end{array}$

x = 0.5

$\begin{array}{l}{y}_1=0.25\\ y_2=0.125\\ y_3=0.1875\\ y_4=0.15625\\ y_5=0.171875\\ y_6=0.1640625\\ y_7=0.16796875\\ y_8=0.166015625\\ y_9=0.166992187\\ y_{10}=0.166503906\\ y_{11}=0.166748171\end{array}$

$\begin{array}{l}{y}_1=0.25\\ y_2=0.0625\\ y_3=0.15625\\ y_4=0.0859375\\ y_5=0.12109375\\ y_6=0.094726562\\ y_7=0.107910156\\ y_8=0.09802246\\ y_9=0.102966308\\ y_{10}=0.099258422\\ y_{11}=0.101112365\end{array}$

$\begin{array}{l}{y}_1=0.25\\ y_2=0.125\\ y_3=0.15625\\ y_4=0.140625\\ y_5=0.14453125\\ y_6=0.142578125\\ y_7=0.143066406\\ y_8=0.142822265\\ y_9=0.1428833\\ y_{10}=0.142852783\\ y_{11}=0.142860412\end{array}$

$\begin{array}{l}{y}_1=0.25\\ y_2=0.0625\\ y_3=0.109375\\ y_4=0.07421875\\ y_5=0.083007812\\ y_6=0.076416015\\ y_7=0.078063964\\ y_8=0.076828002\\ y_9=0.077136993\\ y_{10}=0.07690525\\ y_{11}=0.076963248\end{array}$