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Mathematical Biosciences and Engineering

2023, Volume 20, Issue 5: 8337-8357. doi: 10.3934/mbe.2023365
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Linear barycentric rational collocation method to solve plane elasticity problems

  • School of Science, Shandong Jianzhu University, Jinan 250101, China

  • Academic Editor: Feliz Minhós
  • Received: 07 December 2022 Revised: 22 February 2023 Accepted: 24 February 2023 Published: 02 March 2023

  • A linear barycentric rational collocation method for equilibrium equations with polar coordinates is considered. The discrete linear equations is changed into the matrix forms. With the help of error of barycentrix polar coordinate interpolation, the convergence rate of the linear barycentric rational collocation method for equilibrium equations can be obtained. At last, some numerical examples are given to valid the proposed theorem.

    Citation: Jin Li. Linear barycentric rational collocation method to solve plane elasticity problems[J]. Mathematical Biosciences and Engineering, 2023, 20(5): 8337-8357. doi: 10.3934/mbe.2023365

    Related Papers:

  • A linear barycentric rational collocation method for equilibrium equations with polar coordinates is considered. The discrete linear equations is changed into the matrix forms. With the help of error of barycentrix polar coordinate interpolation, the convergence rate of the linear barycentric rational collocation method for equilibrium equations can be obtained. At last, some numerical examples are given to valid the proposed theorem.


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