Table 6 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.2

$\begin{array}{l}{y}_1=0.002666666667\\ y_2=0.0013333\\ y_3=0.002\\ y_4=0.001666664\\ y_5=0.0018333328\\ y_6=0.001749999864\\ y_7=0.001791666568\\ y_8=0.001770833216\\ y_9=0.001781249888\\ y_{10}=0.001776041312\\ y_{11}=0.00177864572\end{array}$

$\begin{array}{l}{y}_1=0.002666666667\\ y_2=0.00066666664\\ y_3=0.00166666528\\ y_4=0.00091666432\\ y_5=0.00129166648\\ y_6=0.00101041644\\ y_7=0.001151041456\\ y_8=0.001045572688\\ y_9=0.001098307072\\ y_{10}=0.00105875628\\ y_{11}=0.001078531672\end{array}$

$\begin{array}{l}{y}_1=0.002666666667\\ y_2=0.001333333333\\ y_3=0.001666666664\\ y_4=0.001499999992\\ y_5=0.001541666664\\ y_6=0.001520833328\\ y_7=0.001526041656\\ y_8=0.001523437488\\ y_9=0.001522786448\\ y_{10}=0.001523111968\\ y_{11}=0.001523030584\end{array}$

$\begin{array}{l}{y}_1=0.002666666667\\ y_2=0.000666666664\\ y_3=0.001166666666\\ y_4=0.000791666664\\ y_5=0.000885416664\\ y_6=0.00081510416\\ y_7=0.00083268228\\ y_8=0.000819498688\\ y_9=0.000822794584\\ y_{10}=0.000820322656\\ y_{11}=0.00082094064\end{array}$

x = 0.4

$\begin{array}{l}{y}_1=0.021333333\\ y_2=0.010666666\\ y_3=0.016\\ y_4=0.013333333\\ y_5=0.014666662\\ y_6=0.013999998\\ y_7=0.014333332\\ y_8=0.014166665\\ y_9=0.014249999\\ y_{10}=0.014208332\\ y_{11}=0.014229165\end{array}$

$\begin{array}{l}{y}_1=0.021333333\\ y_2=0.00533333312\\ y_3=0.013333332\\ y_4=0.007333331456\\ y_5=0.010333333\\ y_6=0.00808333152\\ y_7=0.009208331648\\ y_8=0.008364581504\\ y_9=0.008786456576\\ y_{10}=0.00847005024\\ y_{11}=0.008628253376\end{array}$

$\begin{array}{l}{y}_1=0.021333333\\ y_2=0.010666666\\ y_3=0.013333333\\ y_4=0.011999999\\ y_5=0.012333333\\ y_6=0.012166666\\ y_7=0.012208333\\ y_8=0.012187499\\ y_9=0.012182291\\ y_{10}=0.012184895\\ y_{11}=0.012184244\end{array}$

$\begin{array}{l}{y}_1=0.021333333\\ y_2=0.00533333312\\ y_3=0.009333333331\\ y_4=0.006333333312\\ y_5=0.007083333312\\ y_6=0.00652083328\\ y_7=0.00666145824\\ y_8=0.006555989504\\ y_9=0.006582356672\\ y_{10}=0.006562581248\\ y_{11}=0.00656752512\end{array}$

x = 0.5

$\begin{array}{l}{y}_1=0.041666666\\ y_2=0.020833333\\ y_3=0.03125\\ y_4=0.026041625\\ y_5=0.028645825\\ y_6=0.027343747\\ y_7=0.02799479\\ y_8=0.027669269\\ y_9=0.027832029\\ y_{10}=0.027750649\\ y_{11}=0.027791339\end{array}$

$\begin{array}{l}{y}_1=0.041666666\\ y_2=0.010416666\\ y_3=0.026041664\\ y_4=0.014322913\\ y_5=0.020182288\\ y_6=0.015787756\\ y_7=0.017985022\\ y_8=0.016337073\\ y_9=0.017161048\\ y_{10}=0.016543066\\ y_{11}=0.016852057\end{array}$

$\begin{array}{l}{y}_1=0.041666666\\ y_2=0.020833333\\ y_3=0.026041666\\ y_4=0.023437499\\ y_5=0.024088541\\ y_6=0.02376302\\ y_7=0.0238444\\ y_8=0.02380371\\ y_9=0.023793538\\ y_{10}=0.023798624\\ y_{11}=0.023797352\end{array}$

$\begin{array}{l}{y}_1=0.041666666\\ y_2=0.010416666\\ y_3=0.018229166\\ y_4=0.012369791\\ y_5=0.013834635\\ y_6=0.012736025\\ y_7=0.01301066\\ y_8=0.012804667\\ y_9=0.012856165\\ y_{10}=0.012817541\\ y_{11}=0.012827197\end{array}$