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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

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2021
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 Universities – Springer 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

  • Flow and heat transfer in a power-law fluid over a stretching sheet with variable thermal conductivity and nonuniform heat source
    Abel, M S; Datti, P S; Mahesha, N
  • Numerical algorithm for the solutions of fractional order systems of Dirichlet function types with comparative analysis
    Arqub, O A
  • Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
    Arqub, O A
  • Atangana Baleanu fractional approach to the solutions of Bagley Torvik and Painleve equations in Hilbert space
    Arqub, O A; Al-Smadi, M
  • Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC-fractional Volterra integro-differential equations
    Arqub, O A; Maayah, B
  • Modulation of reproducing kernel hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana Baleanu fractional sense
    Arqub, O A; Maayah, B
  • Numerical solutions of integrodifferential equations of fredholm operator type in the sense of the Atangana Baleanu fractional operator
    Arqub, O A; Maayah, B
  • Application of reproducing kernel algorithm for solving Dirichlet time-fractional diffusion-Gordon types equations in porous media
    Arqub, O A; Shawagfeh, N
  • Slip effects on boundary layer stagnation-point flow and heat transfer towards a shrinking sheet
    Bhattacharyya, K; Mukhopadhyay, S; Layek, G C
  • Flow past a stretching plate
    Crane, L J
  • A computational method for solving one-dimensional variable-coefficient Burgers equation
    Cui, M G; Geng, F Z
  • Solving singular two-point boundary problem in reproducing kernel space
    Cui, M G; Geng, F Z
  • Slip MHD viscous flow over a stretching sheet an exact solution
    Fang, T; Yao, S; Pop, I
  • Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems
    Foroutan, M R; Ebadian, A; Asadi, R
  • Analysis of unsteady stagnation-point flow over a shrinking sheet and solving the equation with rational Chebyshev functions
    Foroutan, M R; Ebadian, A; Najafzadeh, S
  • Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method
    Geng, F Z
  • Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
    Geng, F Z; Cui, M G
  • A numerical method for sinqularly perturbed turning point problems with an interior layer
    Geng, F Z; Qian, S P; Li, S
  • Approximate solutions for MHD squeezing fluid flow by a novel method
    Inc, M; Akgül, A
  • Representation of exact solution for the time-fractional telegraph equation in the reproducing Kernel space
    Jiang, W; Lin, Y
  • Chebyshev reproducing kernel method: application to two-point boundary value problems
    Kaleghi, M; Babolian, E; Abbasbandy, S
  • A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
    Lin, Y Z; Niu, J; Cui, M G
  • Stagnation point flow over a stretching sheet with Newtonian heating
    Mohamed, M K A; Salleh, M Z; Nazar, R; Ishak, A
  • Flow of a second grade fluid over a stretching surface with Newtonian heating
    Hayat, T; Iqbal, Z; Mustafa, M
  • Approximate solution of nonlinear multi-point boundary value problem on the half-line
    Niu, J; Lin, Y Z; Zhang, C P
  • Numerical solution of nonlinear three-point boundary value problem on the positive half-line
    Niu, J; Lin, Y Z; Zhang, C P
  • An improved reproducing kernel method for Fredholm integro-differential type two-point boundary value problems
    Qing, X; Niu, J
  • Unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux
    Suail, M; Nik Long, N M A; Ishak, A
  • Stagnation flow towards a shrinking sheet
    Wang, C Y
  • Nonexistence of the reversed flow solutions of the Falkner-Skan equations
    Yang, G C; Lan, K Q
  • Convergence Order of the Reproducing Kernel Method for Solving Boundary Value Problems
    Zhao, Z H; Lin, Y Z; Niu, J