Numerical Study to Coupled Three Dimensional Reaction Diffusion System

Shahid Hasnain; Muhammad Saqib; Muhammad F. Afzaal; Iqtadar Hussain

doi:10.1109/ACCESS.2019.2903977

Numerical Study to Coupled Three Dimensional Reaction Diffusion System

Shahid Hasnain^*, Muhammad Saqib, Muhammad F. Afzaal, Iqtadar Hussain

^*Corresponding author for this work

Physical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by L-{2}, L-{\infty } , and Relative-{error} norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.

Original language	English (US)
Article number	8674554
Pages (from-to)	46695-46705
Number of pages	11
Journal	IEEE Access
Volume	7
DOIs	https://doi.org/10.1109/ACCESS.2019.2903977
State	Published - 2019

Keywords

alternating direction implicit
Douglas scheme
higher order compact scheme
Reaction diffusion systems
Thomas algorithm

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2019.2903977

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title = "Numerical Study to Coupled Three Dimensional Reaction Diffusion System",

abstract = "The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by L-{2}, L-{\infty } , and Relative-{error} norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.",

keywords = "alternating direction implicit, Douglas scheme, higher order compact scheme, Reaction diffusion systems, Thomas algorithm",

author = "Shahid Hasnain and Muhammad Saqib and Afzaal, {Muhammad F.} and Iqtadar Hussain",

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year = "2019",

doi = "10.1109/ACCESS.2019.2903977",

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AU - Hasnain, Shahid

AU - Saqib, Muhammad

AU - Afzaal, Muhammad F.

AU - Hussain, Iqtadar

PY - 2019

Y1 - 2019

N2 - The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by L-{2}, L-{\infty } , and Relative-{error} norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.

AB - The numerical solution of reaction diffusion systems may require more computational efforts if the change in concentrations occurs extremely rapid. This is because more time points are needed to resolve the reaction diffusion process accurately. In this paper, three finite difference implicit schemes are used which are unconditionally stable in order to enhance consistency. Novelty is reported by compact finite difference implicit scheme on a reaction diffusion system with higher accuracy measured by L-{2}, L-{\infty } , and Relative-{error} norms. Efficiency is observed by reducing grid space along small temporal steps. CPU performance, transmission capacity along comparison of three schemes shows excellent agreement with the analytical solution.

KW - alternating direction implicit

KW - Douglas scheme

KW - higher order compact scheme

KW - Reaction diffusion systems

KW - Thomas algorithm

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DO - 10.1109/ACCESS.2019.2903977

M3 - Article

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EP - 46705

JO - IEEE Access

JF - IEEE Access

M1 - 8674554

ER -

Numerical Study to Coupled Three Dimensional Reaction Diffusion System

Abstract

Keywords

ASJC Scopus subject areas

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