Table 2 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

x = 0.2

$\begin{array}{l}{y}_1=1.2\\ y_2=1.05\\ y_3=1.1625\\ y_4=1.078125\\ y_5=1.14140625\\ y_6=1.093945312\\ y_7=1.129541015\\ y_8=1.102844238\\ y_9=1.122866821\\ y_{10}=1.107849883\\ y_{11}=1.119112586\end{array}$

$\begin{array}{l}{y}_1=1.2\\ y_2=1.15\\ y_3=1.1625\\ y_4=1.159375\\ y_5=1.16015625\\ y_6=1.159960937\\ y_7=1.160009765\\ y_8=1.159997558\\ y_9=1.16000061\\ y_{10}=1.159999847\\ y_{11}=1.160000038\end{array}$

$\begin{array}{l}{y}_1=1.2\\ y_2=1.15\\ y_3=1.1875\\ y_4=1.178125\\ y_5=1.18515625\\ y_6=1.183398437\\ y_7=1.184716796\\ y_8=1.184387207\\ y_9=1.184634399\\ y_{10}=1.184572601\\ y_{11}=1.18458805\end{array}$

x = 0.4

$\begin{array}{l}{y}_1=1.4\\ y_2=1.1\\ y_3=1.325\\ y_4=1.15625\\ y_5=1.2828125\\ y_6=1.187890624\\ y_7=1.259082031\\ y_8=1.205688476\\ y_9=1.245733642\\ y_{10}=1.215699767\\ y_{11}=1.238225173\end{array}$

$\begin{array}{l}{y}_1=1.4\\ y_2=1.3\\ y_3=1.325\\ y_4=1.31875\\ y_5=1.3203125\\ y_6=1.319921874\\ y_7=1.320019531\\ y_8=1.319995116\\ y_9=1.32000122\\ y_{10}=1.319999694\\ y_{11}=1.320000076\end{array}$

$\begin{array}{l}{y}_1=1.4\\ y_2=1.3\\ y_3=1.375\\ y_4=1.35625\\ y_5=1.3703125\\ y_6=1.366796874\\ y_7=1.369433593\\ y_8=1.368774414\\ y_9=1.369268798\\ y_{10}=1.369145202\\ y_{11}=1.369176101\end{array}$

x = 0.5

$\begin{array}{l}{y}_1=1.5\\ y_2=1.125\\ y_3=1.40625\\ y_4=1.1953125\\ y_5=1.353515625\\ y_6=1.234863281\\ y_7=1.323852539\\ y_8=1.257110595\\ y_9=1.307167053\\ y_{10}=1.269624709\\ y_{11}=1.297781467\end{array}$

$\begin{array}{l}{y}_1=1.5\\ y_2=1.375\\ y_3=1.40625\\ y_4=1.3984375\\ y_5=1.400390625\\ y_6=1.399902343\\ y_7=1.400024414\\ y_8=1.399993896\\ y_9=1.400001525\\ y_{10}=1.399999618\\ y_{11}=1.400000095\end{array}$

$\begin{array}{l}{y}_1=1.5\\ y_2=1.375\\ y_3=1.46875\\ y_4=1.4453125\\ y_5=1.462890625\\ y_6=1.458496093\\ y_7=1.461791992\\ y_8=1.460968017\\ y_9=1.461585998\\ y_{10}=1.461431503\\ y_{11}=1.461470126\end{array}$