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 order 4th order 6th order 8th order Numerical 3rd order 4th order 6th order 8th order Numerical 0.1 0.983499 0.983500 0.983500 0.983500 0.983500 0.994672 0.994672 0.994672 0.994672 0.994672 0.2 0.935285 0.935287 0.935286 0.935286 0.935286 0.978184 0.978184 0.978184 0.978184 0.978184 0.3 0.858989 0.858991 0.858991 0.858991 0.858991 0.948987 0.948986 0.948986 0.948986 0.948986 0.4 0.759953 0.759957 0.759957 0.759957 0.759957 0.904400 0.904399 0.904399 0.904399 0.904399 0.5 0.644378 0.644384 0.644384 0.644384 0.644384 0.840477 0.840475 0.840475 0.840475 0.840475 0.6 0.518442 0.518448 0.518448 0.518448 0.518448 0.751876 0.751874 0.751874 0.751874 0.751874 0.7 0.387576 0.387581 0.387581 0.387581 0.387581 0.631800 0.631798 0.631798 0.631798 0.631798 0.8 0.255978 0.255981 0.255981 0.255981 0.255981 0.472168 0.472166 0.472166 0.472166 0.472166 0.9 0.126379 0.126380 0.126380 0.126380 0.126380 0.264232 0.264231 0.264231 0.264231 0.264231