VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION

Khaing Khaing Soe Wai; San San Tint

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VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION

Khaing Khaing Soe Wai San San Tint

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

Abstract

In this paper, we describe two different finite difference schemes for solving the time fractional diffusion equation And we study the method of lines discretizations. Then, we use to check the stability of finite difference schemes by using Von Neumann analysis.

Keywords

Diffusion equation, Explicit method, Crank-Nicolson method, Von-Neumann analysis.

References

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

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

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

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

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

[6] 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 "VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION" Iconic Research And Engineering Journals Volume 3 Issue 2 2019 Page 279-283

Khaing Khaing Soe Wai, San San Tint "VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 2, Aug. 2019

Khaing Khaing Soe Wai, San San Tint (2019). VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION. Iconic Research And Engineering Journals, 3(2).

Khaing Khaing Soe Wai, San San Tint "VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 2, Aug. 2019.

@article{1701519,
      author = {Khaing Khaing Soe Wai, San San Tint},
      title = {VON NEUMANN STABILITY ANALYSIS FOR TIME- DEPENDENT DIFFUSION EQUATION},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {2},
      pages = {279-283},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701519.pdf},
      abstract = {In this paper, we describe two different  finite difference schemes for solving the time fractional diffusion equation And we study the method of lines discretizations. Then, we use to check the   stability of finite difference schemes by using Von Neumann analysis.},
      keywords = {Diffusion equation, Explicit method, Crank-Nicolson method, Von-Neumann  analysis.},
      month = {August},
  }