4.2 Article

STUDY AND ANALYSIS OF SPATIAL-TIME NONLINEAR FRACTIONAL-ORDER REACTION-ADVECTION-DIFFUSION EQUATION

期刊

JOURNAL OF POROUS MEDIA
卷 22, 期 7, 页码 787-798

出版社

BEGELL HOUSE INC
DOI: 10.1615/JPorMedia.2019025907

关键词

porous media; groundwater contamination; Legendre collocation method; operational matrix; reaction-advection-diffusion equation

资金

  1. Science and Engineering Research Board (SERB), Government of India [SB/S4/MS: 840/13]

向作者/读者索取更多资源

In the present article, the Legendre collocation method is used to solve the fractional-order advection-diffusion equation having a nonlinear type source/sink term with initial and boundary conditions. The solution profiles of the normalized solute concentration for both reaction-advection-diffusion and reaction-diffusion systems are presented through graphs for different particular cases. The salient features of the article are the pictorial presentations of the effects of fractional-order spatial and time derivatives as well as the advection term on the solution profile. An initiative has been taken to compare the numerical solution of our proposed method with the existing analytical solution through error analysis, which is exhibited through figures and a table.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.2
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据