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Year 2018, Volume: 1 Issue: 1, 1 - 6, 01.01.2018

Abstract

References

  • 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.
  • Srivastava, R., Flow Through Open Channels, Oxford University Press, 2008.
  • Bahar E., Gurarslan G., Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method, International Journal of Engineering & Applied Sciences , 9(4), 88, 2017.
  • 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.
  • Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, 2013.
  • 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.
  • 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.
  • Sengupta T.K., Talla S.B., Pradhan S.C., Galerkin finite element methods for wave problems, Sadhana, 30, 5, 611–623, 2005.

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

Year 2018, Volume: 1 Issue: 1, 1 - 6, 01.01.2018

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.

References

  • 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.
  • Srivastava, R., Flow Through Open Channels, Oxford University Press, 2008.
  • Bahar E., Gurarslan G., Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method, International Journal of Engineering & Applied Sciences , 9(4), 88, 2017.
  • 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.
  • Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, 2013.
  • 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.
  • 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.
  • Sengupta T.K., Talla S.B., Pradhan S.C., Galerkin finite element methods for wave problems, Sadhana, 30, 5, 611–623, 2005.
There are 8 citations in total.

Details

Primary Language English
Journal Section Some Notes on the Extendibility of an Especial Family of Diophantine 𝑷𝟐 Pairs
Authors

Seda İğret Araz This is me

Murat Subaşı This is me

Publication Date January 1, 2018
Published in Issue Year 2018 Volume: 1 Issue: 1

Cite

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.