Research Article
Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method
Table 9
Comparison between
of q-HATM [
28] and LRPSM for equation (
59) at
.
| | | Exact solution | LRPS solution | LRPSM | q-HATM [28] |
| 0.001 | −25 | 0.00491095 | 0.00491097 | 1.6442 × | 4.2203 × | −20 | 0.01111010 | 0.01111010 | 1.3804 × | 9.5909 × | −15 | 0.02397620 | 0.02397620 | 6.2941 × | 2.0907 × | 15 | 0.02398340 | 0.02398350 | 3.1500 × | 2.7845 × | 25 | 0.00491263 | 0.00491262 | 1.6447 × | 5.8658 × |
| 0.005 | −25 | 0.00490760 | 0.00490768 | 8.2159 × | 2.1051 × | −20 | 0.01110280 | 0.01110290 | 6.8985 × | 4.7840 × | −15 | 0.02396180 | 0.02396150 | 3.14505 × | 1.0429 × | 15 | 0.02399790 | 0.02399820 | 3.15005 × | 1.3898 × | 25 | 0.00491599 | 0.00491591 | 8.2293 × | 2.9279 × |
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