An Efficient Explicit Finite Difference Scheme for Fractal Boundary Layer Flow of Power Law Fluid under the Effect of Space and Temperature Dependent Internal Heat Generation

Abstract A computational scheme is proposed for solving time fractal dependent partial differential equations (PDEs) arise in boundary layer flow. The scheme is explicit and consisted on three stages. The main advantage of the scheme is that it can be applied on classical and fractal partial differential equations (PDEs). Also, the Fourier series analysis is considered to find the stability condition(s) of proposed fractal scheme for scalar PDE and convergence is provided for system of fractal time dependent convection-diffusion equations. Moreover, a mathematical model of power law fluid over the moving sheet is also given with heat and mass transfer, viscous dissipation and space and temperature dependent heat generation. Further, these governing equations are reduced to dimensionless PDEs and solved by the proposed fractal scheme. The continuity equation of the considered incompressible flow is discretized by the first order backward difference formulas. From the results it can be concluded that temperature profile rises by increasing parameters contains in space and temperature terms of heat generation