Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method
Joint Authors
Gurarslan, Gurhan
Sari, Murat
Alkaya, Devrim
Karahan, Halil
Yasar, Mutlu
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This study aims to produce numerical solutions of one-dimensional advection-diffusion equation using a sixth-order compact difference scheme in space and a fourth-order Runge-Kutta scheme in time.
The suggested scheme here has been seen to be very accurate and a relatively flexible solution approach in solving the contaminant transport equation for Pe≤5.
For the solution of the present equation, the combined technique has been used instead of conventional solution techniques.
The accuracy and validity of the numerical model are verified through the presented results and the literature.
The computed results showed that the use of the current method in the simulation is very applicable for the solution of the advection-diffusion equation.
The present technique is seen to be a very reliable alternative to existing techniques for these kinds of applications.
American Psychological Association (APA)
Gurarslan, Gurhan& Karahan, Halil& Alkaya, Devrim& Sari, Murat& Yasar, Mutlu. 2013. Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032065
Modern Language Association (MLA)
Gurarslan, Gurhan…[et al.]. Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1032065
American Medical Association (AMA)
Gurarslan, Gurhan& Karahan, Halil& Alkaya, Devrim& Sari, Murat& Yasar, Mutlu. Numerical Solution of Advection-Diffusion Equation Using a Sixth-Order Compact Finite Difference Method. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1032065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032065