Abstract
An initial value method has been used to obtain the solution of the boundary layer equations governing the flow of an electrically conducting liquid past a fixed semi-infinite unmagnetized but conducting plate under the influence of a uniform magnetic field acting parallel to the plate. The two-point boundary value problem has been reduced to an initial value problem by using the theory of transformation groups and then integrated with the help of a fourth order Runge-Kutta-Gill algorithm. The main advantage of the method is that the trial and error process usually required for the solution of the two-point boundary value problem is completely eliminated. The results obtained are in very close agreement with the corresponding results of the two-point boundary value problem and the computer time required for the solution is much less compared to that for other numerical methods.
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