A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

M. Hosseininia; M.H. Heydari; Z. Avazzadeh; F.M. Maalek Ghaini

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A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

机译：基于正交BEROULLI多项式的混合方法和可变阶分形反应 - 平流扩散方程的径向基函数

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摘要

In this paper, the variable order fractional derivative in the Heydari-Hosseininia sense is employed to define a new fractional version of 2D reaction-advection-diffusion equation. An efficient and accurate hybrid method based on the shifted orthogonal Bernoulli polynomials and radial basis functions is developed for solving this equation. The presented method converts solving the problem under consideration into solving a system of algebraic equations. The applicability and accuracy of the proposed method are investigated by solving some numerical examples.

机译：本文采用了Heydari-Hosseinininia意义中的可变阶数分数衍生物来定义2D反应 - 平面扩散方程的新分数。开发了一种基于移位正交Bernoulli多项式和径向基函数的高效和准确的混合方法，用于解决该等式。呈现的方法转换解决了解解决代数方程系统的问题。通过求解一些数值实施例，研究了所提出的方法的适用性和准确性。

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来源
《Engineering analysis with boundary elements》 |2021年第6期|18-28|共11页
作者
M. Hosseininia; M.H. Heydari; Z. Avazzadeh; F.M. Maalek Ghaini;
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作者单位

Department of Mathematics Shiraz University of Technology Shiraz Iran;

Department of Mathematics Shiraz University of Technology Shiraz Iran;

Department of Applied Mathematics Xi'an Jiaotong-Liverpool University Suzhou Jiangsu 215123 China;

Faculty of Mathematics Yazd University Yazd Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Orthogonal Bernoulli polynomials; Radial basis functions; Reaction-advection-diffusion equation; Heydari-Hosseininia fractional derivative;

机译：正交Bernoulli多项式;径向基函数;反应 - 平流扩散方程;Heydari-oSseinininia分数衍生物;

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4. Numerical method based on radial basis functions for solving reaction-diffusion equations [C] . Ling-De Su, Zi-Wu Jiang, Tong-Song Jiang Proceedings of 2016 IEEE Information Technology,Networking, Electronic and Automation Control Conference . 2016

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5. Local radial basis function methods for solving partial differential equations. [D] . Yao, Guangming. 2010

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6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

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机译：正交梯度法：求解任意表面上偏微分方程的径向基函数方法

A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

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