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A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation

    Authors

    • Elyas Shivanian
    • Eghbal Mohammadi

    Department of Applied Mathematics, Imam Khomeini International University, Qazvin 34148-96818, Iran

,

Document Type : Regular paper

10.52547/CMCMA.1.2.1
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Abstract

This article presents a method based on combination of successive linearization method (SLM) and pseudo-spectral collocation method and then is applied on a nonlinear model of coupled diffusion and chemical reaction in a spherical catalyst pellet. It is obtained that this method can be used for nonlinear boundary value problems without difficulty because the nonlinear part of the equation becomes inactive by SLM and more, to treat the linear equation, even in the case of complicatedness, is straightforward by pseudo-spectral collocation method. Also, the results reveal the high efficiency with reliable accuracy of this hybrid method.

Keywords

  • successive linearization method
  • diffusion reaction equation
  • pseudo-spectral collocation method
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 1-7
Files
  • XML
  • PDF 180.73 K
History
  • Receive Date: 02 July 2022
  • Revise Date: 28 July 2022
  • Accept Date: 29 July 2022
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 212
  • PDF Download: 330

APA

Shivanian, E. and Mohammadi, E. (2022). A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 1-7. doi: 10.52547/CMCMA.1.2.1

MLA

Shivanian, E. , and Mohammadi, E. . "A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 1-7. doi: 10.52547/CMCMA.1.2.1

HARVARD

Shivanian, E., Mohammadi, E. (2022). 'A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 1-7. doi: 10.52547/CMCMA.1.2.1

CHICAGO

E. Shivanian and E. Mohammadi, "A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 1-7, doi: 10.52547/CMCMA.1.2.1

VANCOUVER

Shivanian, E., Mohammadi, E. A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022; 1(2): 1-7. doi: 10.52547/CMCMA.1.2.1

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