BibTex RIS Kaynak Göster

ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS

Yıl 2018, Cilt: 67 Sayı: 1, 310 - 316, 01.02.2018
https://doi.org/10.1501/Commua1_0000000852

Öz

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

Kaynakça

  • 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.
Yıl 2018, Cilt: 67 Sayı: 1, 310 - 316, 01.02.2018
https://doi.org/10.1501/Commua1_0000000852

Öz

Kaynakça

  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Vildan Gülkaç Bu kişi benim

İrem Bağlan Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 67 Sayı: 1

Kaynak Göster

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. Şubat 2018;67(1):310-316. doi:10.1501/Commua1_0000000852
Chicago Gülkaç, Vildan, ve 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, sy. 1 (Şubat 2018): 310-16. https://doi.org/10.1501/Commua1_0000000852.
EndNote Gülkaç V, Bağlan İ (01 Şubat 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 ve İ. Bağlan, “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 67, sy. 1, ss. 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 (Şubat 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 ve İrem Bağlan. “ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 67, sy. 1, 2018, ss. 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.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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