Discontinuous Legendre Wavelet Element Method for Reaction-Diffusion Equation from Mathematical Chemistry

被引：2

作者：

Zheng, Xiaoyang ^{[1
]}

Wei, Zhengyuan ^{[1
]}

机构：

[1] Chongqing Univ Technol, Coll Sci, Chongqing 400054, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2019年 / 16卷 / 07期

关键词：

Reaction-diffusion equation; Legendre wavelet; discontinuous Galerkin method; discontinuous Legendre wavelet element method; GALERKIN METHODS; BIOSENSORS;

D O I：

10.1142/S021987621850113X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents discontinuous Legendre wavelet element (DLWE) approach for solving nonlinear reaction-diffusion equation (RDE) arising in mathematical chemistry. Firstly, weak formulation of the RDE and corresponding numerical fluxes are devised by utilizing the advantages of both Legendre wavelet and discontinuous Galerkin (DG) approach. Secondly, stability and error estimates of the proposed method have been addressed. Finally, numerical experiments demonstrate the validity and utility of the DLWE method, which is also applicable to solving some other kinds of partial differential equations.

引用

页数：23

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