A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations

A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations

A Shannon-Rugge-Kutta-Gill method for solving convection-diffusion equations is discussed. This approach transforms convection-diffusion equations into one-dimensional equations at collocations points, which we solve by Runge-Kutta-Gill method. A concrete example solved is used to examine the method...

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Main Authors: Xiaoming Duan, Jinsong Leng, Carlo Cattani, Caiyun Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/163734
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spelling doaj-cd7c1dc8712c41e9a6eb2975013ec6982020-11-24T23:40:44ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/163734163734A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion EquationsXiaoming Duan0Jinsong Leng1Carlo Cattani2Caiyun Li3School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaDepartment of Mathematics, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalySchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaA Shannon-Rugge-Kutta-Gill method for solving convection-diffusion equations is discussed. This approach transforms convection-diffusion equations into one-dimensional equations at collocations points, which we solve by Runge-Kutta-Gill method. A concrete example solved is used to examine the method’s feasibility.http://dx.doi.org/10.1155/2013/163734
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoming Duan
Jinsong Leng
Carlo Cattani
Caiyun Li
spellingShingle Xiaoming Duan
Jinsong Leng
Carlo Cattani
Caiyun Li
A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
Mathematical Problems in Engineering
author_facet Xiaoming Duan
Jinsong Leng
Carlo Cattani
Caiyun Li
author_sort Xiaoming Duan
title A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
title_short A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
title_full A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
title_fullStr A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
title_full_unstemmed A Shannon-Runge-Kutta-Gill Method for Convection-Diffusion Equations
title_sort shannon-runge-kutta-gill method for convection-diffusion equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description A Shannon-Rugge-Kutta-Gill method for solving convection-diffusion equations is discussed. This approach transforms convection-diffusion equations into one-dimensional equations at collocations points, which we solve by Runge-Kutta-Gill method. A concrete example solved is used to examine the method’s feasibility.
url http://dx.doi.org/10.1155/2013/163734
work_keys_str_mv AT xiaomingduan ashannonrungekuttagillmethodforconvectiondiffusionequations
AT jinsongleng ashannonrungekuttagillmethodforconvectiondiffusionequations
AT carlocattani ashannonrungekuttagillmethodforconvectiondiffusionequations
AT caiyunli ashannonrungekuttagillmethodforconvectiondiffusionequations
AT xiaomingduan shannonrungekuttagillmethodforconvectiondiffusionequations
AT jinsongleng shannonrungekuttagillmethodforconvectiondiffusionequations
AT carlocattani shannonrungekuttagillmethodforconvectiondiffusionequations
AT caiyunli shannonrungekuttagillmethodforconvectiondiffusionequations
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