Research Article
Numerical Solution and Simulation of Second-Order Parabolic PDEs with Sinc-Galerkin Method Using Maple
Table 2
Numerical results.
| | | Exact solution | Sinc-Galerkin solution | Error |
| , | 0.1 | 0.35446621870000 | 0.59102026517764600 | 0.23655404647764600 | 0.11 | 0.00001833412226 | −0.08327827240548060 | 0.08329660652774060 | 0.21 | | −0.03068110846399060 | 0.03068110941228980 | 0.31 | | −0.01083286679129120 | 0.01083286679134030 | 0.41 | | −0.000420168677914081 | 0.000420168677914083 | 0.51 | | −0.00108069489771883 | 0.00108069489771883 | 0.61 | | −0.00492511086695295 | 0.00492511086695295 | 0.71 | | 0.00331706758955819 | 0.00331706758955819 | 0.81 | | −0.00303031084399243 | 0.00303031084399243 | 0.91 | | 0.00342519240062265 | 0.00342519240062265 |
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