Computational Technique for the Modeling on MHD Boundary Layer Flow Unsteady Stretching Sheet by B-Spline Function

This work considers the magnetohydrodynamic (MHD) boundary layer flow over a non-linear stretching sheet with an incompressible viscous fluid. The proposed mathematical model is formulated in partial differential equations and then converted to non-linear differential equations utilizing similarity transformation. The governing differential equations are solved approximately by the quartic B-spline function. The comparison of the obtained results with the exact solution and numerical solutions previously reported is shown. Further, the effect of the magnetic field and non-linear starching parameters on the dimensionless stream function, velocity profile, and shear stress profile is presented through tables and illustrative graphs. It is found that the new results using the quartic B-spline function have an excellent agreement with the exact solution and the early published works.