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

Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

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

, Volume 36 (3) – Sep 1, 2021
16 pages

Publisher
Springer Journals
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-021-3761-2
Publisher site
See Article on Publisher Site

### Abstract

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.

### Journal

Applied Mathematics-A Journal of Chinese UniversitiesSpringer Journals

Published: Sep 1, 2021

Keywords: nonlinear boundary value problem; Laguerre reproducing kernel method; operational matrix of derivative; existence and nonexistence of solutions; approximate solution; 34B15; 76D03; 65M70

### References

Access the full text.