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Research Article | Open Access

Barycentric rational collocation method for fractional reaction-diffusion equation

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

Barycentric rational collocation method (BRCM) for solving spatial fractional reaction-diffusion equation (SFRDE) is presented. New Gauss quadrature with weight function ( s θ − τ ) ξ − α is constructed to approximate fractional integral. Matrix equation of SFRDF is obtained from discrete SFRDE. With help of the error of barycentrix rational interpolation, convergence rate is obtained.

Keywords

linear barycentric rational interpolationcollocation methodfractional reaction-diffusion equation
CLC number: 65D32, 65D30, 65R20

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 9009-9026
DOI: 10.3934/math.2023451

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Li J. Barycentric rational collocation method for fractional reaction-diffusion equation. AIMS Mathematics, 2023, 8(4): 9009-9026. https://doi.org/10.3934/math.2023451

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Received: 22 December 2022
Revised: 29 January 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)