KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1

ANALYSIS OF TWO DIMENSIONAL PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITIONS

Vildan GÜLKAÇ
İrem BAĞLAN
Sayfa
310–316
Yayın Tarihi
2018-02-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also we construct an iteration algorithm for the numericalsolution of this problem

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper two dimensional parabolic equation with Dirichlettype boundary condition is considered.
📊
Temel Bulgular & Veri:The existence and uniqueness of solution are shown.
💡
Sonuç & Katkı:Also we construct an iteration algorithm for the numericalsolution of this problem
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Parabolic equation · Dirichlet problem · iteration algorithm

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

🔖

Bu Makaleye Atıf Yap

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, Cilt: 67 - Sayı: 1, 310–316. https://ajindex.com/articles/747216

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (7)

  1. 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.
  2. Furzeland, R.M., A comparative study of numerical methods for moving boundary problems, J.Ins.Math.Appl., 26, 411, 1980.
  3. Crank, J., Numerical methods in heat transfer, John Wiley, 9, 1981.
  4. 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.
  5. 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.
  6. 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.
  7. 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.