Research Article
New Iterative Method for the Solution of Fractional Damped Burger and Fractional Sharma-Tasso-Olver Equations
Table 1
Comparison of numerical results of NIM and FRDTM at
and
.
| | | 5th-order FRDTM [18] | 2nd-order NIM | Exact solution | Absolute error |
| −5 | 0.002 | −4.980060 | −4.98006 | −4.98006 | 1.19501 × 10−7 | 0.004 | −4.960239 | −4.96024 | −4.96024 | 9.52046 × 10−7 | 0.006 | −4.940535 | −4.94054 | −4.94054 | 3.19985 × 10−7 | 0.008 | −4.920949 | −4.92096 | −4.92095 | 7.55346 × 10−6 |
| −3 | 0.002 | −2.988036 | −2.98804 | −2.98804 | 7.17009 × 10−8 | 0.004 | −2.976143 | −2.97614 | −2.97614 | 5.71228 × 10−7 | 0.006 | −2.964321 | −2.96432 | −2.96432 | 1.91991 × 10−6 | 0.008 | −2.952569 | −2.95257 | −2.95257 | 4.53208 × 10−6 |
| 3 | 0.002 | 2.988036 | 2.98804 | 2.98804 | 7.17009 × 10−8 | 0.004 | 2.976143 | 2.97614 | 2.97614 | 5.71228 × 10−7 | 0.006 | 2.964321 | 2.96432 | 2.96432 | 1.91991 × 10−6 | 0.008 | 2.952569 | 2.95257 | 2.95257 | 4.53208 × 10−6 |
| 5 | 0.002 | 4.980060 | 4.98006 | 4.98006 | 1.19501 × 10−7 | 0.004 | 4.960239 | 4.96024 | 4.96024 | 9.52046 × 10−7 | 0.006 | 4.940535 | 4.94054 | 4.94054 | 3.19985 × 10−6 | 0.008 | 4.920949 | 4.92096 | 4.92095 | 7.55346 × 10−6 |
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