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

Cilt: 1 Sayı: 1 1 Ocak 2018
Seda İğret Araz , Murat Subaşı
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Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients

Öz

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.

Anahtar Kelimeler

Advection-Diffusion Equation,Numerical Approximation,Galerkin Method

Kaynakça

  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, Ladyzhenskaya O.A., Boundary Value Problems in Mathematical Physics, Springer-Verlag, 1985.
  5. Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, 2013.
  6. 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.
  7. 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.
  8. Sengupta T.K., Talla S.B., Pradhan S.C., Galerkin finite element methods for wave problems, Sadhana, 30, 5, 611–623, 2005.

Kaynak Göster

APA
İğret Araz, S., & Subaşı, M. (2018). Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education, 1(1), 1-6. https://izlik.org/JA88FY67BJ
AMA
1.İğret Araz S, Subaşı M. Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education. 2018;1(1):1-6. https://izlik.org/JA88FY67BJ
Chicago
İğret Araz, Seda, ve Murat Subaşı. 2018. “Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients”. Journal of Advanced Mathematics and Mathematics Education 1 (1): 1-6. https://izlik.org/JA88FY67BJ.
EndNote
İğret Araz S, Subaşı M (01 Ocak 2018) Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education 1 1 1–6.
IEEE
[1]S. İğret Araz ve M. Subaşı, “Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients”, Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, ss. 1–6, Oca. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA88FY67BJ
ISNAD
İğret Araz, Seda - Subaşı, Murat. “Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients”. Journal of Advanced Mathematics and Mathematics Education 1/1 (01 Ocak 2018): 1-6. https://izlik.org/JA88FY67BJ.
JAMA
1.İğret Araz S, Subaşı M. Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education. 2018;1:1–6.
MLA
İğret Araz, Seda, ve Murat Subaşı. “Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients”. Journal of Advanced Mathematics and Mathematics Education, c. 1, sy 1, Ocak 2018, ss. 1-6, https://izlik.org/JA88FY67BJ.
Vancouver
1.Seda İğret Araz, Murat Subaşı. Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Ocak 2018;1(1):1-6. Erişim adresi: https://izlik.org/JA88FY67BJ