Research Article
A Single Sweep AGE Algorithm on a Variable Mesh Based on Off-Step Discretization for the Solution of Nonlinear Burgers’ Equation
| | TAGE | Single sweep AGE | MAE | RMS errors | | | Iter | | | Iter |
| | 10 | 0.0578 | 0.0585 | 6 | 0.0568 | 0.0568 | 6 | 0.1067(−03) | 0.6084(−04) | 20 | 0.0368 | 0.0374 | 7 | 0.0281 | 0.0285 | 7 | 0.8511(−04) | 0.3726(−04) | 30 | 0.0318 | 0.0321 | 8 | 0.0320 | 0.0315 | 7 | 0.8442(−04) | 0.3028(−04) | 40 | 0.0282 | 0.0286 | 9 | 0.0170 | 0.0170 | 8 | 0.8440(−04) | 0.2622(−04) | 50 | 0.0236 | 0.0239 | 10 | 0.0160 | 0.0166 | 8 | 0.8440(−04) | 0.2345(−04) | 60 | 0.0161 | 0.0162 | 10 | 0.0161 | 0.0166 | 8 | 0.8440(−04) | 0.2141(−04) |
| | 10 | 0.0152 | 0.0155 | 5 | 0.016 | 0.016 | 4 | 0.8156(−03) | 0.3181(−03) | 20 | 0.0093 | 0.0096 | 6 | 0.009 | 0.0089 | 5 | 0.3228(−04) | 0.1508(−04) | 30 | 0.0063 | 0.0068 | 7 | 0.006 | 0.0059 | 7 | 0.8624(−05) | 0.4435(−05) | 40 | 0.0044 | 0.0045 | 10 | 0.0032 | 0.0042 | 9 | 0.5159(−05) | 0.2771(−05) | 50 | 0.0036 | 0.0035 | 12 | 0.002 | 0.0031 | 12 | 0.4238(−05) | 0.2232(−05) | 60 | 0.0029 | 0.0029 | 10 | 0.0027 | 0.00278 | 15 | 0.3917(−05) | 0.1968(−05) |
| | 10 | 0.006 | 0.014 | 5 | 0.005 | 0.014 | 4 | 0.3335(−02) | 0.1197(−02) | 20 | 0.012 | 0.012 | 5 | 0.008 | 0.0089 | 4 | 0.3326(−03) | 0.9523(−04) | 30 | 0.008 | 0.008 | 6 | 0.008 | 0.008 | 4 | 0.7487(−04) | 0.2147(−04) | 40 | 0.0061 | 0.0061 | 7 | 0.0051 | 0.0053 | 5 | 0.2502(−04) | 0.7150(−05) | 50 | 0.0049 | 0.0049 | 8 | 0.0058 | 0.0049 | 5 | 0.1055(−04) | 0.3012(−05) | 60 | 0.0041 | 0.0041 | 9 | 0.0043 | 0.0041 | 5 | 0.5186(−05) | 0.1478(−05) |
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