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 NIMExact solutionAbsolute error

−50.002−4.980060−4.98006−4.980061.19501 × 10−7
0.004−4.960239−4.96024−4.960249.52046 × 10−7
0.006−4.940535−4.94054−4.940543.19985 × 10−7
0.008−4.920949−4.92096−4.920957.55346 × 10−6

−30.002−2.988036−2.98804−2.988047.17009 × 10−8
0.004−2.976143−2.97614−2.976145.71228 × 10−7
0.006−2.964321−2.96432−2.964321.91991 × 10−6
0.008−2.952569−2.95257−2.952574.53208 × 10−6

30.0022.9880362.988042.988047.17009 × 10−8
0.0042.9761432.976142.976145.71228 × 10−7
0.0062.9643212.964322.964321.91991 × 10−6
0.0082.9525692.952572.952574.53208 × 10−6

50.0024.9800604.980064.980061.19501 × 10−7
0.0044.9602394.960244.960249.52046 × 10−7
0.0064.9405354.940544.940543.19985 × 10−6
0.0084.9209494.920964.920957.55346 × 10−6