Table 1 Shows analysis of Perturb solution with numerical solution with \(\zeta =0.01,\alpha = 0.2\), \(\varepsilon = 0.15\), \(\delta =0.01\), \(F= 0.1\), \(x= 1\).
y | Perturb solution for u | Numerical solution for u | Difference |
|---|---|---|---|
0. | 0.564385 | 0.564638 | \(-\,2.53724\times 10^{\text {-4}}\)Â Â |
0.1 | 0.552597 | 0.552843 | \(-\,2.4605\times 10^{\text {-4}}\) |
0.2 | 0.517232 | 0.517455 | \(-\,2.23174\times 10^{\text {-4}}\) |
0.3 | 0.458275 | 0.458461 | \(-\,1.8578\times 10^{\text {-4}}\) |
0.4 | 0.375705 | 0.375841 | \(-\,1.35904\times 10^{\text {-4}}\) |
0.5 | 0.269491 | 0.269569 | \(-\,7.76974\times 10^{\text {-5}}\) |
0.6 | 0.13959 | 0.139607 | \(-\,1.75488\times 10^{\text {-5}}\) |
0.7 | − 0.0140506 | − 0.0140875 | \(3.68592\times 10^{\text {-5}}\) |
0.8 | − 0.191489 | − 0.191567 | \(7.83305\times 10^{\text {-5}}\) |
0.9 | − 0.392793 | − 0.392894 | \(1.01432\times 10^{\text {-4}}\) |
1. | − 0.618037 | − 0.618137 | \(1.00026\times 10^{\text {-4}}\) |
1.1 | − 0.867319 | − 0.867374 | \(5.51864\times 10^{\text {-5}}\) |
