KaydedilenlerDerginizi ekleyin

Dergiler / Journal of Advanced Mathematics and Mathematics Education / 2018 / Cilt: 1 - Sayı: 1

Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients

Seda İĞRET ARAZ
Murat SUBAŞI
Sayfa
1–6
Yayın Tarihi
2018-01-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Two examples are presented for the numerical solution of this equation and results are compared with exact solution.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present study, one-dimensional advection–diffusion equation with constant coefficients is solved using Galerkin Method.
📊
Temel Bulgular & Veri:We give the generlized solution of this equation.
💡
Sonuç & Katkı:Two examples are presented for the numerical solution of this equation and results are compared with exact solution.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Advection-Diffusion Equation · Numerical Approximation · Galerkin Method

Abstract

In the present study, one-dimensional advection–diffusion equation with constant coefficients is solved using Galerkin Method. We give the generlized solution of this equation. Two examples are presented for the numerical solution of this equation and results are compared with exact solution.

🔖

Bu Makaleye Atıf Yap

ARAZ, S. İ., SUBAŞI, M. (2018). Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education, Cilt: 1 - Sayı: 1, 1–6. https://ajindex.com/articles/773307

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (9)

  1. Kumar A., Jaiswal D. K., Kumar N., Analytical solutions to one-dimensional advection– diffusion equation with variable coefficients in semi-infinite media, Journal of Hidrology, 337, 2010.
  2. Srivastava, R., Flow Through Open Channels, Oxford University Press, 2008.
  3. Bahar E., Gurarslan G., Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method, International Journal of Engineering & Applied Sciences, 9(4), 88, 2017.
  4. Hasanov A., Simultaneous determination of the source terms in a linear hyperbolic problem from the final over determination: weak solution approach, IMA Journal of Applied Mathematics, 74, 1-19,
  5. Ladyzhenskaya O.A., Boundary Value Problems in Mathematical Physics, Springer-Verlag, 1985.
  6. Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, 2013.
  7. Dedner, A., Madhavan P., Stinner B., Analysis of the discontinuous Galerkin method for elliptic problems on surfaces, IMA Journal of Numerical Analysis, 33, 952-973, 2013.
  8. Huang Y., Li J., Li D., Developing weak Galerkin finite element methods for the wave equation, Numerical Methods for Partial Differential Equation, 33,3,2017.
  9. Sengupta T.K., Talla S.B., Pradhan S.C., Galerkin finite element methods for wave problems, Sadhana, 30, 5, 611–623, 2005.