Background: Recently, an utmost attention has been devoted by researchers on the prestaltic movement of viscous
flows due to its novel importance in daily life problems, human body and many physical systems. In era of
biological systemns and health sciences, the prestaltic mechanism attribute impotant applications blood circulation
in vessels, blood pumping in heart, food in esophagus etc. Moreover, the applications of novel Galerkin
finite element scheme for solution of nonlinear partial differential equations associated with peristaltic flow
problems is another challenging task for mathematicians. Owing to such motivativations in mind, this computational
presents the magnetohydrodynamic peristaltic flow of viscous fluid at high Reynolds number induced
by an asymmetric wall channel. The novel impact of magnetic force are also utilized as a novelty. Method: The
equations which exploit the flow problem are numerically tackled with help of Galerkin finite element scheme.
Results: The results are computed and show great validation for physical parameters like wave constants,
amplitude ratio and Reynolds number. The validation of obtained results are worked out with already claimed
data and achieved an excellent accuracy. The mechanisms of transport process is addressed in view of involved
physical parameters namely wave constant, Reynolds number and Hartmann number. The graphical observations
are successfully revealed for all parameters.