Research Article
Solving the Modified Regularized Long Wave Equations via Higher Degree B-Spline Algorithm
Table 2
Error norms and invariants for the single solitary wave for the above parameters.
| Time | Method | | | | | |
| | Analytical | | | 7.809875 | 2.129887 | 0.130250 | 0 | SBCM1 | 0.0 | 0.0 | 7.809702 | 2.129886 | 0.130251 | SBCM2 | 0.0 | 0.0 | 7.809702 | 2.129886 | 0.130251 | 1 | SBCM1 | 0.000899 | 0.000497 | 7.809725 | 2.129887 | 0.130251 | SBCM2 | 0.001982 | 0.001588 | 7.809725 | 2.129887 | 0.130251 | 2 | SBCM1 | 0.000481 | 0.000681 | 7.809744 | 2.129887 | 0.130250 | SBCM2 | 0.000986 | 0.000966 | 7.809744 | 2.129887 | 0.130250 | 3 | SBCM1 | 0.000979 | 0.000381 | 7.809767 | 2.129887 | 0.130250 | SBCM2 | 0.001081 | 0.002124 | 7.809767 | 2.129887 | 0.130250 | 4 | SBCM1 | 0.002519 | 0.000994 | 7.809783 | 2.129887 | 0.130250 | SBCM2 | 0.006957 | 0.004066 | 7.809783 | 2.129887 | 0.130250 | 5 | SBCM1 | 0.007738 | 0.005744 | 7.809800 | 2.129887 | 0.130250 | SBCM2 | 0.009886 | 0.008759 | 7.809800 | 2.129887 | 0.130250 | 6 | SBCM1 | 0.009956 | 0.008964 | 7.809819 | 2.129887 | 0.130250 | SBCM2 | 0.011042 | 0.012464 | 7.809819 | 2.129887 | 0.130250 | 7 | SBCM1 | 0.010009 | 0.009979 | 7.809841 | 2.129887 | 0.130250 | SBCM2 | 0.021244 | 0.010012 | 7.809841 | 2.129887 | 0.130250 | 8 | SBCM1 | 0.013692 | 0.010210 | 7.809855 | 2.129887 | 0.130250 | SBCM2 | 0.033897 | 0.021252 | 7.809855 | 2.129887 | 0.130250 | 9 | SBCM1 | 0.024350 | 0.013776 | 7.809868 | 2.129887 | 0.130250 | SBCM2 | 0.039873 | 0.028806 | 7.809868 | 2.129887 | 0.130250 | 10 | SBCM1 | 0.026879 | 0.010968 | 7.809874 | 2.129887 | 0.130251 | SBCM2 | 0.035471 | 0.026398 | 7.809874 | 2.129887 | 0.130251 | 10 | [20] | 6.982800 | 1.995240 | 7.809320 | 2.129880 | 0.130315 | 10 | [23] | 0.048674 | 0.033611 | 7.807948 | 2.129887 | 0.130251 |
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