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Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point ow over a stretching/shrinking sheet
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作者 M.R.Foroutan A.S.Gholizadeh +1 位作者 Sh.Najafzadeh r.h.haghi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2021年第3期354-369,共16页
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 permeab... 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. 展开更多
关键词 nonlinear boundary value problem Laguerre reproducing kernel method operational matrix of derivative existence and nonexistence of solutions approximate solution
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