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Table 14 The solutions obtained by the new modified Ishikawa iteration method for different values of λ and γ

From: The new modified Ishikawa iteration method for the approximate solution of different types of differential equations

x

λ = 0.75, γ = 0.25

λ = 0.25, γ = 0.75

λ = 0.75, γ = 0.75

x = 0.6

y 1 = 0.36 y 2 = 0.09 y 3 = 0.2925 y 4 = 0.140625 y 5 = 0.25453125 y 6 = 0.169101562 y 7 = 0.233173828 y 8 = 0.185119628 y 9 = 0.221160278 y 10 = 0.19412979 y 11 = 0.214402656

y 1 = 0.36 y 2 = 0.27 y 3 = 0.2925 y 4 = 0.286875 y 5 = 0.28828125 y 6 = 0.287929687 y 7 = 0.288017578 y 8 = 0.287995605 y 9 = 0.288001083 y 10 = 0.287999725 y 11 = 0.288000068

y 1 = 0.36 y 2 = 0.27 y 3 = 0.3375 y 4 = 0.320625 y 5 = 0.33328125 y 6 = 0.330117187 y 7 = 0.332490234 y 8 = 0.331896972 y 9 = 0.332341918 y 10 = 0.332230682 y 11 = 0.332314109

x = 1

y 1 = 1 y 2 = 0.25 y 3 = 0.8125 y 4 = 0.390625 y 5 = 0.70703125 y 6 = 0.469726562 y 7 = 0.647705078 y 8 = 0.514221191 y 9 = 0.614334106 y 10 = 0.539249419 y 11 = 0.595562934

y 1 = 1 y 2 = 0.75 y 3 = 0.8125 y 4 = 0.796875 y 5 = 0.80078125 y 6 = 0.799804687 y 7 = 0.800048828 y 8 = 0.799987792 y 9 = 0.800003051 y 10 = 0.799999236 y 11 = 0.80000019

y 1 = 1 y 2 = 0.75 y 3 = 0.9375 y 4 = 0.890625 y 5 = 0.92578125 y 6 = 0.916992187 y 7 = 0.923583984 y 8 = 0.921936035 y 9 = 0.923171996 y 10 = 0.922863006 y 11 = 0.923094748

x = 1.5

y 1 = 2.25 y 2 = 0.5625 y 3 = 1.828125 y 4 = 0.87890625 y 5 = 1.590820313 y 6 = 1.056884765 y 7 = 1.457336426 y 8 = 1.15699768 y 9 = 1.382251739 y 10 = 1.213311193 y 11 = 1.340016602

y 1 = 2.25 y 2 = 1.6875 y 3 = 1.828125 y 4 = 1.79296875 y 5 = 1.801757813 y 6 = 1.799560546 y 7 = 1.800109863 y 8 = 1.799972532 y 9 = 1.800006865 y 10 = 1.799998281 y 11 = 1.800000428

y 1 = 2.25 y 2 = 1.6875 y 3 = 2.109375 y 4 = 2.00390625 y 5 = 2.083007813 y 6 = 2.063232421 y 7 = 2.078063964 y 8 = 2.074356079 y 9 = 2.077136991 y 10 = 2.076441764 y 11 = 2.076963183