2019
DOI: 10.1002/mma.5955
|View full text |Cite
|
Sign up to set email alerts
|

Study of one‐dimensional space‐time fractional‐order Burgers‐Fisher and Burgers‐Huxley fluid models

Abstract: The shifted Legendre collocation method is used to solve the one‐dimensional nonlinear reaction‐advection‐diffusion equation having spatial and temporal fractional‐order derivatives with initial and boundary conditions. The solution profiles of the normalized solute concentration of space‐time fractional‐order Burgers‐Fisher and Burgers‐Huxley equations are presented through graphs for different particular cases. The main purpose of the article is the graphical exhibition of the effect of the temporal, spatial… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
4

Relationship

1
3

Authors

Journals

citations
Cited by 4 publications
(1 citation statement)
references
References 31 publications
0
1
0
Order By: Relevance
“…Reaction-diffusion equations (due to its capabilities to model several processes in various fields) have been widely studied in last few years in various forms namely, biological pattern formation [6], heterogeneous networks [7], cancer invasion [8]. The fractional reaction-diffusion equations are an expansion of the classical reaction-diffusion equations [9][10][11] used to simulate pattern development in heterogeneous media. Using a continuous-time random walk model, Henry et al [12] examined the diffusion problem with linear reaction.…”
Section: Introductionmentioning
confidence: 99%
“…Reaction-diffusion equations (due to its capabilities to model several processes in various fields) have been widely studied in last few years in various forms namely, biological pattern formation [6], heterogeneous networks [7], cancer invasion [8]. The fractional reaction-diffusion equations are an expansion of the classical reaction-diffusion equations [9][10][11] used to simulate pattern development in heterogeneous media. Using a continuous-time random walk model, Henry et al [12] examined the diffusion problem with linear reaction.…”
Section: Introductionmentioning
confidence: 99%