Skip to main content
. 2021 Aug 16;23(8):1053. doi: 10.3390/e23081053

Table 17.

Absolute errors in our solutions for different scenarios of convective fin.

Scenario I Scenario II Scenario III Scenario IV
X β=0.0 β=0.3 β=0.6 β=1.2 Sh=0.25 Sh=0.50 Sh=0.75 Sh=1.00 γ=0.0 γ=0.1 γ=0.2 γ=0.3 Q=0.0 Q=0.1 Q=0.2 Q=0.3
0.0 1.19 × 10−9 2.98 × 10−11 8.24 × 10−13 1.42 × 10−14 1.95 × 10−16 7.12 × 10−14 1.96 × 10−12 1.89 × 10−11 3.54 × 10−12 3.12 × 10−12 2.71 × 10−12 2.32 × 10−12 1.62 × 10−12 5.03 × 10−12 5.69 × 10−12 4.38 × 10−12
0.1 4.29 × 10−9 1.09 × 10−10 3.03 × 10−12 5.11 × 10−14 7.25 × 10−16 2.62 × 10−13 7.18 × 10−12 6.89 × 10−11 1.30 × 10−11 1.15 × 10−11 9.97 × 10−12 8.54 × 10−12 5.77 × 10−12 1.84 × 10−11 2.09 × 10−11 1.61 × 10−11
0.2 2.91 × 10−10 6.69 × 10−12 1.83 × 10−13 3.76 × 10−15 4.21 × 10−17 1.60 × 10−14 4.56 × 10−13 4.53 × 10−12 7.87 × 10−13 6.90 × 10−13 5.97 × 10−13 5.09 × 10−13 4.43 × 10−13 1.16 × 10−12 1.27 × 10−12 9.71 × 10−13
0.3 1.80 × 10−9 4.60 × 10−11 1.27 × 10−12 2.09 × 10−14 3.09 × 10−16 1.10 × 10−13 2.99 × 10−12 2.84 × 10−11 5.46 × 10−12 4.82 × 10−12 4.20 × 10−12 3.60 × 10−12 2.32 × 10−12 7.63 × 10−12 8.73 × 10−12 6.75 × 10−12
0.4 2.55 × 10−9 6.21 × 10−11 1.71 × 10−12 3.13 × 10−14 4.10 × 10−16 1.50 × 10−13 4.13 × 10−12 4.00 × 10−11 7.35 × 10−12 6.47 × 10−12 5.62 × 10−12 4.81 × 10−12 3.55 × 10−12 1.05 × 10−11 1.18 × 10−11 9.08 × 10−12
0.5 4.84 × 10−11 9.50 × 10−13 2.64 × 10−14 9.00 × 10−16 5.59 × 10−18 2.50 × 10−15 8.07 × 10−14 8.87 × 10−13 1.15 × 10−13 9.83 × 10−14 8.29 × 10−14 6.90 × 10−14 1.21 × 10−13 2.05 × 10−13 1.99 × 10−13 1.43 × 10−13
0.6 2.14 × 10−9 5.23 × 10−11 1.43 × 10−12 2.44 × 10−14 3.49 × 10−16 1.24 × 10−13 3.35 × 10−12 3.17 × 10−11 6.12 × 10−12 5.41 × 10−12 4.72 × 10−12 4.05 × 10−12 2.67 × 10−12 8.46 × 10−12 9.69 × 10−12 7.53 × 10−12
0.7 3.01 × 10−9 7.07 × 10−11 1.94 × 10−12 3.76 × 10−14 4.65 × 10−16 1.71 × 10−13 4.73 × 10−12 4.58 × 10−11 8.29 × 10−12 7.30 × 10−12 6.34 × 10−12 5.42 × 10−12 4.26 × 10−12 1.19 × 10−11 1.33 × 10−11 1.02 × 10−11
0.8 4.67 × 10−11 1.24 × 10−12 3.17 × 10−14 2.39 × 10−16 8.76 × 10−18 2.52 × 10−15 5.59 × 10−14 4.37 × 10−13 1.34 × 10−13 1.23 × 10−13 1.10 × 10−13 9.78 × 10−14 1.57 × 10−14 1.37 × 10−13 1.89 × 10−13 1.62 × 10−13
0.9 6.77 × 10−9 1.54 × 10−10 4.17 × 10−12 8.07 × 10−14 1.01 × 10−15 3.67 × 10−13 1.01 × 10−11 9.67 × 10−11 1.78 × 10−11 1.57 × 10−11 1.37 × 10−11 1.17 × 10−11 8.96 × 10−12 2.52 × 10−11 2.83 × 10−11 2.19 × 10−11
1.0 1.59 × 10−9 3.55 × 10−11 9.47 × 10−13 1.76 × 10−14 2.33 × 10−16 8.30 × 10−14 2.24 × 10−12 2.12 × 10−11 4.04 × 10−12 3.58 × 10−12 3.12 × 10−12 2.69 × 10−12 1.91 × 10−12 5.55 × 10−12 6.33 × 10−12 4.95 × 10−12