An approximate method for solving MHD boundary layer flow over a stretching sheet with Joule heating and convective thermal condition

In this paper, He's homotopy perturbation method (HPM) is used, which is an approximate analytical method for solving numerically the problem of Newtonian fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition. The major feature of HPM is that it does not need the small parameters in the equations and hence the determination of classical perturbation can be discarded. Due to the complete efficiency of the HPM, it becomes practically well suited for use in this field of study. Also, the obtained solutions for both the velocity and temperature field are graphically sketched. The results reveal that the proposed method is very effective, convenient, and quite accurate to systems of nonlinear differential equations. Results of this study shed light on the accuracy and efficiency of the HPM in solving these types of nonlinear boundary layer equations.

Automated summary

In this paper, He's homotopy perturbation method (HPM) is used to solve the problem of Newtonian fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition. The obtained solutions for both the velocity and temperature field are found to be effective, convenient, and accurate, shedding light on the accuracy and efficiency of HPM in solving these types of nonlinear boundary layer equations.