Ayrık Tekil Konvolusyon Yöntemi ile İki Boyutlu Isı Probleminin MATLAB Ortamında Çözümü

Yıl 2009, Cilt: 1 Sayı: 1, 56 - 62, 15.01.2009

Bahadır Alyavuz

Öz

Bu çalısma ayrık tekil konvolusyon yöntemini ve iki boyutlu ısı yayılma denklemine uygulanmasını özetlemektedir. Sayısal hesaplamalarda Dirichlet tipi sınır sartları kullanılmıstır. Bir MATLAB® kodu yardımıyla sayısal hesaplamalar ve grafik sunumlar olusturulmustur. Karsılastırma amaçlı olarak denge durumundaki plak durumu için degiskenlerin ayrıstırılması yöntemiyle de çözüm yapılmıstır.

Anahtar Kelimeler

Ayrık tekil konvolusyon, ısı iletimi, degiskenlerin ayrıstırılması

Ayrık Tekil Konvolusyon Yöntemi ile İki Boyutlu Isı Probleminin MATLAB Ortamında Çözümü

Öz

This study summarizes the discrete singular convolution (DSC) method and its implementation to two dimensional transient heat conduction problem. Dirichlet type boundary conditions are used in the calculations. A MATLAB® code is prepared for the numerical calculations and graphical representations. Steady state condition is solved by the method of separation of variables in order to compare the results.

Anahtar Kelimeler

Discrete singular convolution, heat conduction, separation of variables

Kaynakça

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