Research Article
Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes
Table 2
Errors for Crank-Nicolson scheme.
| | | | | | Error at (0.5, 1.0) | Diss. error | Disp. error |
| 0.005 | 0.02 | 0.25 | | 0.0032 | | | | 0.01 | 0.02 | 0.50 | 0.0011 | 0.0035 | | | | 0.02 | 0.02 | 1.0 | 0.0015 | 0.0046 | | | | 0.04 | 0.02 | 2.0 | 0.0029 | 0.0092 | 0.0013 | | | 0.005 | 0.04 | 0.125 | 0.0037 | 0.0114 | 0.0020 | | | 0.01 | 0.04 | 0.25 | 0.0038 | 0.0116 | 0.0020 | | | 0.02 | 0.04 | 0.5 | 0.0042 | 0.0126 | 0.0021 | | | 0.04 | 0.04 | 1.0 | 0.0055 | 0.0162 | 0.0028 | | |
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