Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet

Autor: Sh. Najafzadeh, M. R. Foroutan, A. S. Gholizadeh, R. H. Haghi
Rok vydání: 2021
Předmět:
Zdroj: Applied Mathematics-A Journal of Chinese Universities. 36:354-369
ISSN: 1993-0445
1005-1031
DOI: 10.1007/s11766-021-3761-2
Popis: This paper investigates the nonlinear boundary value problem resulting from the exact reduction of the Navier-Stokes equations for unsteady magnetohydrodynamic boundary layer flow over the stretching/shrinking permeable sheet submerged in a moving fluid. To solve this equation, a numerical method is proposed based on a Laguerre functions with reproducing kernel Hilbert space method. Using the operational matrices of derivative, we reduced the problem to a set of algebraic equations. We also compare this work with some other numerical results and present a solution that proves to be highly accurate.
Databáze: OpenAIRE