Research Article
Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform
Table 1
Comparison at different fractional-order of
on the basis of error for example 1.
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| | 1 | 0.2 | 3.2544637000E-05 | 2.2120827000E-05 | 1.1245160000E-06 | 4.6950000000E-09 | 4.6950000000E-09 | | 0.4 | 5.6252371000E-05 | 3.8122367000E-05 | 1.9326610000E-06 | 4.5160000000E-09 | 4.5160000000E-09 | | 0.6 | 6.6977543000E-05 | 4.5190884000E-05 | 2.2817165000E-06 | 2.8920000000E-09 | 2.8920000000E-09 | | 0.8 | 6.6088137000E-05 | 4.4352512000E-05 | 2.2282931000E-06 | 9.6700000000E-10 | 9.6700000000E-10 | | 1 | 5.7917905000E-05 | 3.8643903000E-05 | 1.9309485000E-06 | 4.3500000000E-10 | 4.3500000000E-10 |
| | 2 | 0.2 | 3.2724604000E-05 | 2.2243772000E-05 | 1.1309350000E-06 | 1.4503000000E-08 | 1.4503000000E-08 | | 0.4 | 5.6554664000E-05 | 3.8325285000E-05 | 1.9428321000E-06 | 1.1962000000E-08 | 1.1962000000E-08 | | 0.6 | 6.7332527000E-05 | 4.5426381000E-05 | 2.2932956000E-06 | 6.3710000000E-09 | 6.3710000000E-09 | | 0.8 | 6.6435085000E-05 | 4.4580264000E-05 | 2.2393475000E-06 | 8.5500000000E-10 | 8.5500000000E-10 | | 1 | 5.8219810000E-05 | 3.8840174000E-05 | 1.9403804000E-06 | 2.7360000000E-09 | 2.7360000000E-09 |
| | 3 | 0.2 | 3.2889983000E-05 | 2.2359041000E-05 | 1.1372439000E-06 | 2.9430000000E-08 | 2.9430000000E-08 | | 0.4 | 5.6826239000E-05 | 3.8509365000E-05 | 1.9522428000E-06 | 2.2347000000E-08 | 2.2347000000E-08 | | 0.6 | 6.7648218000E-05 | 4.5636779000E-05 | 2.3036960000E-06 | 1.0447000000E-08 | 1.0447000000E-08 | | 0.8 | 6.6741663000E-05 | 4.4781765000E-05 | 2.2490874000E-06 | 3.3000000000E-10 | 3.3000000000E-10 | | 1 | 5.8485407000E-05 | 3.9012637000E-05 | 1.9485796000E-06 | 6.9030000000E-09 | 6.9030000000E-09 |
| | 4 | 0.2 | 3.3047770000E-05 | 2.2471143000E-05 | 1.1436601000E-06 | 4.9484000000E-08 | 4.9484000000E-08 | | 0.4 | 5.7079185000E-05 | 3.8682371000E-05 | 1.9612665000E-06 | 3.5686000000E-08 | 3.5686000000E-08 | | 0.6 | 6.7939008000E-05 | 4.5831283000E-05 | 2.3133582000E-06 | 1.5130000000E-08 | 1.5130000000E-08 | | 0.8 | 6.7022070000E-05 | 4.4966048000E-05 | 2.2579430000E-06 | 2.5830000000E-09 | 2.5830000000E-09 | | 1 | 5.8727131000E-05 | 3.9169160000E-05 | 1.9559187000E-06 | 1.2932000000E-08 | 1.2932000000E-08 |
| | 5 | 0.2 | 3.3201253000E-05 | 2.2582205000E-05 | 1.1502870000E-06 | 7.4676000000E-08 | 7.4676000000E-08 | | 0.4 | 5.7319182000E-05 | 3.8847969000E-05 | 1.9700805000E-06 | 5.1991000000E-08 | 5.1991000000E-08 | | 0.6 | 6.8211657000E-05 | 4.6014233000E-05 | 2.3224915000E-06 | 2.0433000000E-08 | 2.0433000000E-08 | | 0.8 | 6.7282969000E-05 | 4.5137364000E-05 | 2.2661180000E-06 | 5.8960000000E-09 | 5.8960000000E-09 | | 1 | 5.8950823000E-05 | 3.9313444000E-05 | 1.9625736000E-06 | 2.0821000000E-08 | 2.0821000000E-08 |
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