An efficient numerical method to solve the Falkner-Skan problem over an isothermal moving wedge

Abstract

Purpose This paper aims to solve the Falkner–Skan problem over an isothermal moving wedge using the combination of the quasilinearization method and the fractional order of rational Chebyshev function (FRC) collocation method on a semi-infinite domain. Design/methodology/approach The quasilinearization method converts the equation into a sequence of linear equations, and then by using the FRC collocation method, these linear equations are solved. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary differential equation by similarity transformations. Findings The entropy generation and the effects of the various parameters of the problem are investigated, and various graphs for them are plotted. Originality/value Very good approximation solutions to the system of equations in the problem are obtained, and the convergence of numerical results is shown by using plots and tables.