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CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION

Khaing Khaing Soe Wai San San Tint

Subject area: Science,Engineering and Technology  ·  Area of research: Mechanical Engineering

Abstract

In this paper, we first consider parabolic advection-diffusion problem. And, we study a characteristic Galerkin method for non- stationary advection diffusion equation. Then, we prove the stability and convergency of these method.

Keywords

Advection- Diffusion Equation, convergency, characteristic Galerkin method

References

[1] Adams, R.A., "Sobolev Spaces", Academic Press, New York, 1975.

[2] Evans, L.C., "Partial Differential Equations", American Mathematical Society, Providence, New York, 1998.

[3] Griffits, D.F., "An Introduction to Matlab Version 2.2", University of Dundee, Ireland, 1996.

[4] Jungel, A., "Numerical Methods for Partial Differential Equations I": Elliptic and Parabolic Equations, (Lecture Notes), 2001.

[5] Mathews, J.H., "Numerical Methods for Mathematics", Science and Engineering, Prentice- Hall International Education, 1992..

[6] Smith, G.D., "Numerical Solution of Partial Differential Equations, Finite Difference Methods", 3 rd Ed., Clarendon Press, Oxford, 1985.

[7] Süli, E., "Finite Element Methods for Partial Differential Equations", 2002.

[8] Thomas, J.W., "Numerical Partial Differential Equations, Conservation Laws and Elliptic Equations", Springer-Verlag, New York, 1998.

How to cite this paper

Khaing Khaing Soe Wai, San San Tint "CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION" Iconic Research And Engineering Journals Volume 3 Issue 1 2019 Page 280-283
Khaing Khaing Soe Wai, San San Tint "CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 1, Jul. 2019
Khaing Khaing Soe Wai, San San Tint (2019). CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION. Iconic Research And Engineering Journals, 3(1).
Khaing Khaing Soe Wai, San San Tint "CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 1, Jul. 2019.
@article{1701398,
      author = {Khaing Khaing Soe Wai, San San Tint},
      title = {CONVERGENCE FOR NON-STATIONARY ADVECTION- DIFFUSION EQUATION},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {1},
      pages = {280-283},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701398.pdf},
      abstract = {In this paper, we first consider parabolic advection-diffusion problem. And, we study a characteristic Galerkin method for non- stationary advection diffusion equation. Then, we prove the stability and convergency of these method.},
      keywords = {Advection- Diffusion Equation, convergency,  characteristic Galerkin method},
      month = {July},
  }