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AIMS Mathematics

2023, Volume 8, Issue 4: 8756-8771. doi: 10.3934/math.2023439
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Barycentric rational collocation method for semi-infinite domain problems

  • School of Science, Shandong Jianzhu University, Jinan, 250101, China
  • Received: 25 December 2022 Revised: 01 February 2023 Accepted: 02 February 2023 Published: 07 February 2023

  • MSC : 65D32, 65D30, 65R20

  • The barycentric rational collocation method for solving semi-infinite domain problems is presented. Following the barycentric interpolation method of rational polynomial and Chebyshev polynomial, matrix equation is obtained from discrete semi-infinite domain problem. Truncation method and transformation method are presented to solve linear and nonlinear differential equation defined on the semi-infinite domain problems. At last, three numerical examples are presented to valid our theoretical analysis.

    Citation: Jin Li. Barycentric rational collocation method for semi-infinite domain problems[J]. AIMS Mathematics, 2023, 8(4): 8756-8771. doi: 10.3934/math.2023439

    Related Papers:

  • The barycentric rational collocation method for solving semi-infinite domain problems is presented. Following the barycentric interpolation method of rational polynomial and Chebyshev polynomial, matrix equation is obtained from discrete semi-infinite domain problem. Truncation method and transformation method are presented to solve linear and nonlinear differential equation defined on the semi-infinite domain problems. At last, three numerical examples are presented to valid our theoretical analysis.


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