Journal of Computational Methods in Physics / 2014 / Article / Tab 2

Research Article

Spectral-Homotopy Perturbation Method for Solving Governing MHD Jeffery-Hamel Problem

Table 2

Comparison of the values of the SHPM approximate solutions for F( ) with the numerical solution for various values of when and for divergent and convergent channels.

divergent-channel convergent-channel
3rd order4th order6th order8th orderNumerical3rd order4th order6th order8th orderNumerical

0.10.9834990.9835000.9835000.9835000.9835000.9946720.9946720.9946720.9946720.994672
0.20.9352850.9352870.9352860.9352860.9352860.9781840.9781840.9781840.9781840.978184
0.30.8589890.8589910.8589910.8589910.8589910.9489870.9489860.9489860.9489860.948986
0.40.7599530.7599570.7599570.7599570.7599570.9044000.9043990.9043990.9043990.904399
0.50.6443780.6443840.6443840.6443840.6443840.8404770.8404750.8404750.8404750.840475
0.60.5184420.5184480.5184480.5184480.5184480.7518760.7518740.7518740.7518740.751874
0.70.3875760.3875810.3875810.3875810.3875810.6318000.6317980.6317980.6317980.631798
0.80.2559780.2559810.2559810.2559810.2559810.4721680.4721660.4721660.4721660.472166
0.90.1263790.1263800.1263800.1263800.1263800.2642320.2642310.2642310.2642310.264231

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