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Space-Time and Motion to Advection-Diffusion Equation


 
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1. Title Title of document Space-Time and Motion to Advection-Diffusion Equation
 
2. Creator Author's name, affiliation, country Mohammad Ghani; School of Mathematics and Statistics, Northeast Normal University; China
 
3. Subject Discipline(s) Mathematical Modeling and Computation
 
3. Subject Keyword(s) advection-diffusion; space-time; motion; finite difference method
 
4. Description Abstract Abstract

We are concerned with the study the differential equation problem of space-time and motion for the case of advection-diffusion equation. We derive the advection-diffusion equation from the conservation of mass, where this can be represented by the substance flow in and flow out through the medium. In this case, the concentration of substance and rate of flow of substance in a medium are smooth functions which is useful to generate advection-diffusion equation. A special case of the advection-diffusion equation and numerical results are also given in this paper. We use explicit and implicit finite differences method for numerical results implemented in MATLAB.

Keywords: advection-diffusion; space-time; motion; finite difference method.

 

Abstrak

Kami tertarik untuk mempelajari masalah persamaan diferensial ruang-waktu, dan gerak untuk kasus persamaan adveksi-difusi. Kita menurunkan persamaan adveksi-difusi dari kekekalan massa, di mana hal ini dapat diwakili oleh aliran zat yang masuk dan keluar melalui media. Dalam hal ini konsentrasi zat dan laju aliran zat dalam suatu medium merupakan fungsi halus yang berguna untuk menghasilkan persamaan adveksi-difusi. Sebuah kasus khusus persamaan adveksi-difusi dan hasil numerik juga diberikan dalam makalah ini. Kami menggunakan metode beda hingga explisit dan implisit untuk hasil numerik yang diimplementasikan dalam MATLAB.

Kata kunci: adveksi-difusi; ruang-waktu; gerak; metode beda hingga.
 
5. Publisher Organizing agency, location Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2021-05-04
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://journal.uinjkt.ac.id/index.php/inprime/article/view/19679
 
10. Identifier Digital Object Identifier 10.15408/inprime.v3i1.19679
 
11. Source Title; vol., no. (year) InPrime: Indonesian Journal of Pure and Applied Mathematics; Vol 3, No 1 (2021)
 
12. Language English=en en
 
13. Relation Supp. Files
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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InPrime: Indonesian Journal of Pure and Applied Mathematics is licensed  under a Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) License