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Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation

    Author

    • Fatemeh Baharifard

    School of Computer Science, Institute for Research in Fundamental Sciences (IPM)

,

Document Type : Regular paper

10.48308/CMCMA.3.1.13
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Abstract

In this paper, we aim to introduce a
weighted orthogonal system on the half-line based on the
exponential Gegenbauer functions. We use these functions in
collocation method to solve MHD Falkner-Skan equation, which
arises in the study of laminar boundary layers exhibiting
similarity on the semi-infinite domain.
This method solves the problem on the semi-infinite domain without truncating it to a finite domain and transforming the domain of the problem to a finite domain. We make a comparison
between the results of the proposed system with the numerical
results to show that the present method
has an acceptable accuracy. 

Keywords

  • exponential Gegenbauer
  • collocation method
  • MHD Falkner-Skan equation
  • semi-infinite domain
  • nonlinear ODE
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 3, Issue 1 - Serial Number 1
December 2024
Pages 13-20
Files
  • XML
  • PDF 190.2 K
History
  • Receive Date: 12 May 2023
  • Accept Date: 20 August 2024
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
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Statistics
  • Article View: 113
  • PDF Download: 202

APA

Baharifard, F. (2024). Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), 13-20. doi: 10.48308/CMCMA.3.1.13

MLA

Baharifard, F. . "Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation", Computational Mathematics and Computer Modeling with Applications (CMCMA), 3, 1, 2024, 13-20. doi: 10.48308/CMCMA.3.1.13

HARVARD

Baharifard, F. (2024). 'Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation', Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), pp. 13-20. doi: 10.48308/CMCMA.3.1.13

CHICAGO

F. Baharifard, "Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation," Computational Mathematics and Computer Modeling with Applications (CMCMA), 3 1 (2024): 13-20, doi: 10.48308/CMCMA.3.1.13

VANCOUVER

Baharifard, F. Exponential Gegenbauer collocation method for solving the MHD Falkner-Skan equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2024; 3(1): 13-20. doi: 10.48308/CMCMA.3.1.13

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