Sextic B-spline Galerkin method for advection diffusion equation

Öz

In this study, sextic B-spline Galerkin finite element method is proposed for numerical solution of the advection diffusion equation.  In the method, second, three and fourth order single step methods are used for the time integration.  Second order single step method is also known as Crank Nicolson method.  Two numerical examples are studied to illustrate the accuracy and the efficiency of the proposed methods.

Anahtar Kelimeler

• Advection diffusion equation,sextic B-spline,Galerkin method

Adveksiyon difüzyon denklemi için sektik B-spline Galerkin metodu

Öz

Bu çalışmada sektik B-spline Galerkin metodu adveksiyon difüzyon denkleminin yaklaşık çözümü için önerilmiştir.  Önerilen metotta zaman parçalanması için doğruluğu iki, üç ve dört olan tek adımlı yöntemler kullanılmıştır.  Doğruluğu iki olan yöntem Crank-Nicolson yöntemi olarak ta bilinmektedir.  İki sayısal örnek kullanılarak önerilen yöntemlerin etkinliği ve doğruluğu kontrol edilmiştir.

Anahtar Kelimeler

• Adveksiyon difüzyon denklemi,Sektik B-spline,Galerkin yöntemi

Kaynakça

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