ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS

Vildan Gülkaç; İrem Bağlan

doi:10.1501/Commua1_0000000852

ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS

Year 2018, Volume: 67 Issue: 1, 310 - 316, 01.02.2018

Vildan Gülkaç İrem Bağlan

https://doi.org/10.1501/Commua1_0000000852

Abstract

In this paper two dimensional parabolic equation with Dirichlettype boundary condition is considered. The existence and uniqueness of solution are shown. Also we construct an iteration algorithm for the numericalsolution of this problem

Keywords

Parabolic equation, Dirichlet problem, iteration algorithm

References

Srivastava, H.M., K.Y. Kung and K.-J.Wang, Analytical solution of a two-dimensional recten- gular heat equation, Russian Journal of Mat. Physics,14,115-119, 2007.
Furzeland, R.M., A comparative study of numerical methods for moving boundary problems, J.Ins.Math.Appl., 26, 411, 1980.
Crank, J., Numerical methods in heat transfer, John Wiley, 9, 1981.
Ran, M. and Zhang, C., Computers Math.with Appl.,Compact diğerence scheme for a class of fractional in-space nonlinear damped wave equations in two space dimen- sions,71,1151,1162,2016.
Cannon J.R., The solution of the heat conduction sub ject to the speci…cation of energy, Quart. Appl. Math., Vol.21, 155-160, 1983.
Choi Y.S. and Chan K.Y., A parabolic equation with a nonlocal boundary condition arising from electrochemistry, Nonlinear Analysis, Vol.18,317-331,1992.
Sharma P.R. and Methi G., Solution of two dimensional parabolic equation sub ject to Non- local conditions using homotopy Perturbation method, Jour. of App.Com. Sci., Vol.1, 12-16, 2012.

Year 2018, Volume: 67 Issue: 1, 310 - 316, 01.02.2018

Vildan Gülkaç İrem Bağlan

https://doi.org/10.1501/Commua1_0000000852

Abstract

References

Srivastava, H.M., K.Y. Kung and K.-J.Wang, Analytical solution of a two-dimensional recten- gular heat equation, Russian Journal of Mat. Physics,14,115-119, 2007.
Furzeland, R.M., A comparative study of numerical methods for moving boundary problems, J.Ins.Math.Appl., 26, 411, 1980.
Crank, J., Numerical methods in heat transfer, John Wiley, 9, 1981.
Ran, M. and Zhang, C., Computers Math.with Appl.,Compact diğerence scheme for a class of fractional in-space nonlinear damped wave equations in two space dimen- sions,71,1151,1162,2016.
Cannon J.R., The solution of the heat conduction sub ject to the speci…cation of energy, Quart. Appl. Math., Vol.21, 155-160, 1983.
Choi Y.S. and Chan K.Y., A parabolic equation with a nonlocal boundary condition arising from electrochemistry, Nonlinear Analysis, Vol.18,317-331,1992.
Sharma P.R. and Methi G., Solution of two dimensional parabolic equation sub ject to Non- local conditions using homotopy Perturbation method, Jour. of App.Com. Sci., Vol.1, 12-16, 2012.

There are 7 citations in total.

Details

Primary Language	English
Journal Section	Research Articles
Authors	Vildan Gülkaç This is me İrem Bağlan This is me
Publication Date	February 1, 2018
Published in Issue	Year 2018 Volume: 67 Issue: 1

Cite

APA	Gülkaç, V., & Bağlan, İ. (2018). ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 310-316. https://doi.org/10.1501/Commua1_0000000852
AMA	Gülkaç V, Bağlan İ. ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2018;67(1):310-316. doi:10.1501/Commua1_0000000852
Chicago	Gülkaç, Vildan, and İrem Bağlan. “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 1 (February 2018): 310-16. https://doi.org/10.1501/Commua1_0000000852.
EndNote	Gülkaç V, Bağlan İ (February 1, 2018) ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 310–316.
IEEE	V. Gülkaç and İ. Bağlan, “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 1, pp. 310–316, 2018, doi: 10.1501/Commua1_0000000852.
ISNAD	Gülkaç, Vildan - Bağlan, İrem. “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (February 2018), 310-316. https://doi.org/10.1501/Commua1_0000000852.
JAMA	Gülkaç V, Bağlan İ. ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:310–316.
MLA	Gülkaç, Vildan and İrem Bağlan. “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 1, 2018, pp. 310-6, doi:10.1501/Commua1_0000000852.
Vancouver	Gülkaç V, Bağlan İ. ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):310-6.