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Research Article | Open Access

Barycentric rational collocation method for semi-infinite domain problems

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

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.

Keywords

linear barycentric rational interpolationcollocation methodsemi-infinite domain problemtruncation methodbarycentric interpolation method
CLC number: 65D32, 65D30, 65R20

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 8756-8771
DOI: 10.3934/math.2023439

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Cite this article:
Li J. Barycentric rational collocation method for semi-infinite domain problems. AIMS Mathematics, 2023, 8(4): 8756-8771. https://doi.org/10.3934/math.2023439

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Received: 25 December 2022
Revised: 01 February 2023
Accepted: 02 February 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)