Similarity Solutions for Keller-Segel model with fractional diffusion of cells

被引：7

作者：

Ray, Santanu Saha ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Rourkela 769008, India

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 10期

关键词：

blow-up; chemotactic aggregation; chemotaxis; fractional diffusion; Keller-Segel model; self-organization; PARTIAL-DIFFERENTIAL-EQUATIONS; DYNAMICS; WALKS;

D O I：

10.1002/mma.6122

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the similarity method has been used to solve fractional Keller-Segel model where the diffusion is represented by a nonlocal fractional Laplace operator. In order to verify the results, fractional centred difference method and weighted shifted Gruwald-Letnikov difference method have been employed for reduction equations. The comparison of results establishes the accuracy and efficiency of the proposed two numerical schemes.

引用

页码：8379 / 8396

页数：18

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