FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION

Khaing Khaing Soe Wai; San San Tint

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FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION

Khaing Khaing Soe Wai San San Tint

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

Abstract

In this paper, we first consider the initial boundary value problem for the heat equation. And, the finite difference methods for the heat equation in one space dimension, its consistency and stability are studied. Then, the two dimensional heat equation is solved by using finite difference methods.

Keywords

Consistency, stability, finite difference methods and heat Equation

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] 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", 3rd Ed., Clarendon Press, Oxford, 1985.

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

[7] 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 "FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION" Iconic Research And Engineering Journals Volume 3 Issue 2 2019 Page 134-138

Khaing Khaing Soe Wai, San San Tint "FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 2, Aug. 2019

Khaing Khaing Soe Wai, San San Tint (2019). FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION. Iconic Research And Engineering Journals, 3(2).

Khaing Khaing Soe Wai, San San Tint "FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION" Iconic Research And Engineering Journals, vol. 3, no. 2, Aug. 2019.

@article{1701491,
      author = {Khaing Khaing Soe Wai, San San Tint},
      title = {FINITE DIFFERENCE METHODS FOR TWO DIMENSIONAL HEAT EQUATION},
      journal = {Iconic Research And Engineering Journals},
      year = {2019},
      volume = {3},
      number = {2},
      pages = {134-138},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1701491.pdf},
      abstract = {In this paper, we first consider the initial boundary value problem for the heat equation. And, the finite difference methods for the heat equation in one space dimension, its consistency and stability are studied. Then, the two dimensional heat equation is solved by using finite difference methods.},
      keywords = {Consistency, stability, finite difference methods and heat Equation},
      month = {August},
  }