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Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression

    Author

    • Aida Pakniyat

    Department of Computer and Data Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

,

Document Type : Regular paper

10.52547/CMCMA.1.2.104
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Abstract

This paper introduces a new numerical solution based on the least squares support vector machine (LS-SVR) for solving nonlinear ordinary differential equations of high dimensionality. We apply the quasilinearization method to linearize the magnetohydrodynamic (MHD) flow of nanofluid around a stretching cylinder, thereby transforming it into a linear problem. We then utilize LS-SVR with fractional Hermite functions as basis functions to solve this problem over a semi-infinite interval. Our numerical results confirm the effectiveness of this approach.

Keywords

  • Cylinder, Spectral methods
  • Least squares support vector machine
  • Magnetohydrodynamic (MHD)
  • Nonlinear ODE
  • fractional Hermite functions
  • Semi-infinite
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    • Article View: 119
    • PDF Download: 215
Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 104-121
Files
  • XML
  • PDF 443.62 K
History
  • Receive Date: 10 May 2023
  • Revise Date: 21 May 2023
  • Accept Date: 30 June 2023
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 119
  • PDF Download: 215

APA

Pakniyat, A. (2022). Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 104-121. doi: 10.52547/CMCMA.1.2.104

MLA

Pakniyat, A. . "Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 104-121. doi: 10.52547/CMCMA.1.2.104

HARVARD

Pakniyat, A. (2022). 'Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 104-121. doi: 10.52547/CMCMA.1.2.104

CHICAGO

A. Pakniyat, "Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 104-121, doi: 10.52547/CMCMA.1.2.104

VANCOUVER

Pakniyat, A. Numerical solution for solving magnetohydrodynamic (MHD) flow of nanofluid by least squares support vector regression. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022; 1(2): 104-121. doi: 10.52547/CMCMA.1.2.104

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