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A fully discretization approach for nonlinear Phi-four equations

    Author

    • Mohammad Ali Mehrpouya

    Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.

,

Document Type : Invited paper

10.48308/CMCMA.3.1.38
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Abstract

In this paper, a fully discretization approach is established for accurate and efficient solution of nonlinear time-dependent Phi-four equations arising in particle physics and quantum mechanics. In the suggested approach, the lobatto pseudospectral method is used to discretize the desired problem. So, the Phi-four equation is converted into a set of nonlinear algebraic equations. The primary benefit of the suggested approach is that, it produces excellent results with just few discretization points and has a fast rate of convergence. Numerical results are showcased to verify the precision and effectiveness of the suggested approach for solving nonlinear Phi-four equations.

Keywords

  • Phi-four equations
  • Discretization methods
  • Collocation
  • Legendre-Gauss-Lobatto points
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 3, Issue 1 - Serial Number 1
December 2024
Pages 38-45
Files
  • XML
  • PDF 1023.21 K
History
  • Receive Date: 02 August 2024
  • Revise Date: 23 September 2024
  • Accept Date: 26 September 2024
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 168
  • PDF Download: 97

APA

Mehrpouya, M. A. (2024). A fully discretization approach for nonlinear Phi-four equations. Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), 38-45. doi: 10.48308/CMCMA.3.1.38

MLA

Mehrpouya, M. A. . "A fully discretization approach for nonlinear Phi-four equations", Computational Mathematics and Computer Modeling with Applications (CMCMA), 3, 1, 2024, 38-45. doi: 10.48308/CMCMA.3.1.38

HARVARD

Mehrpouya, M. A. (2024). 'A fully discretization approach for nonlinear Phi-four equations', Computational Mathematics and Computer Modeling with Applications (CMCMA), 3(1), pp. 38-45. doi: 10.48308/CMCMA.3.1.38

CHICAGO

M. A. Mehrpouya, "A fully discretization approach for nonlinear Phi-four equations," Computational Mathematics and Computer Modeling with Applications (CMCMA), 3 1 (2024): 38-45, doi: 10.48308/CMCMA.3.1.38

VANCOUVER

Mehrpouya, M. A. A fully discretization approach for nonlinear Phi-four equations. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2024; 3(1): 38-45. doi: 10.48308/CMCMA.3.1.38

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