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Table 7 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 = 0.2

y 1 = 0.002666666667 y 2 = 0.000666666664 y 3 = 0.002166666664 y 4 = 0.001041666664 y 5 = 0.001885416664 y 6 = 0.00125260416 y 7 = 0.001727213536 y 8 = 0.001371256504 y 9 = 0.001638224272 y 10 = 0.00143799844 y 11 = 0.001588167816

y 1 = 0.002666666667 y 2 = 0.002 y 3 = 0.002166666664 y 4 = 0.002125 y 5 = 0.002135416664 y 6 = 0.002132812496 y 7 = 0.002133463536 y 8 = 0.002133300776 y 9 = 0.002133341464 y 10 = 0.002133331288 y 11 = 0.002133333832

y 1 = 0.002666666667 y 2 = 0.002 y 3 = 0.0025 y 4 = 0.002375 y 5 = 0.00246875 y 6 = 0.002445312496 y 7 = 0.002462890624 y 8 = 0.002458496088 y 9 = 0.002461791984 y 10 = 0.002406096801 y 11 = 0.002461585992

x = 0.4

y 1 = 0.021333333 y 2 = 0.005333333312 y 3 = 0.017333333 y 4 = 0.008333333312 y 5 = 0.015083333 y 6 = 0.010020833 y 7 = 0.0138177708 y 8 = 0.010970052 y 9 = 0.013105794 y 10 = 0.011503987 y 11 = 0.012705342

y 1 = 0.021333333 y 2 = 0.016 y 3 = 0.017333333 y 4 = 0.017 y 5 = 0.017083333 y 6 = 0.017062499 y 7 = 0.017067708 y 8 = 0.017066406 y 9 = 0.017066731 y 10 = 0.01706665 y 11 = 0.01706667

y 1 = 0.021333333 y 2 = 0.016 y 3 = 0.02 y 4 = 0.019 y 5 = 0.01975 y 6 = 0.019562499 y 7 = 0.019703124 y 8 = 0.019667968 y 9 = 0.019694335 y 10 = 0.019687744 y 11 = 0.019692687

x = 0.5

y 1 = 0.041666666 y 2 = 0.010416666 y 3 = 0.033854166 y 4 = 0.016276041 y 5 = 0.029459635 y 6 = 0.01957194 y 7 = 0.026987711 y 8 = 0.021425882 y 9 = 0.025597254 y 10 = 0.022468725 y 11 = 0.024815122

y 1 = 0.041666666 y 2 = 0.03125 y 3 = 0.033854166 y 4 = 0.033203125 y 5 = 0.033365885 y 6 = 0.033325195 y 7 = 0.033335367 y 8 = 0.033335367 y 9 = 0.03333346 y 10 = 0.033333301 y 11 = 0.033333341

y 1 = 0.041666666 y 2 = 0.03125 y 3 = 0.0390625 y 4 = 0.037109375 y 5 = 0.038574218 y 6 = 0.038208007 y 7 = 0.038482666 y 8 = 0.038414001 y 9 = 0.038465499 y 10 = 0.038452625 y 11 = 0.038462281