Research Article
Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations
Table 9
Numerical result of Example
8.
| | | | | | |
| | (0.1, 0.1) | 0 | 0 | 0 | 3.5 × 10−11 | 3.5 × 10−11 | | (0.2, 0.3) | −0.1001667500 | −0.1001667505 | −0.1001667502 | 4.17 × 10−10 | 1.73 × 10−10 | | (0.3, 0.5) | −0.2013360025 | −0.2013360265 | −0.2013360026 | 2.4 × 10−8 | 8.6 × 10−11 | | (0.4, 0.7) | −0.3045202934 | −0.3045207633 | −0.3045202961 | 4.7 × 10−7 | 2.88 × 10−9 | | (0.5, 0.9) | −0.4107523258 | −0.4107567262 | −0.4107523679 | 4.4 × 10−6 | 4.1 × 10−8 |
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| | (0.1, 0.1) | 1 | 1 | 1 | 4.76 × 10−11 | 4.76 × 10−11 | | (0.2, 0.3) | 1.005004168 | 1.005004166 | 1.005004168 | 1.18 × 10−9 | 4.67 × 10−10 | | (0.3, 0.5) | 1.020066756 | 1.020066655 | 1.020066756 | 1.01 × 10−7 | 8.15 × 10−10 | | (0.4, 0.7) | 1.045338514 | 1.045337006 | 1.045338506 | 1.51 × 10−6 | 7.99 × 10−9 | | (0.5, 0.9) | 1.081072372 | 1.081060784 | 1.081072265 | 1.16 × 10−5 | 1.05 × 10−7 |
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