Quintic B-spline Differential Quadrature for Burgers’ Equation

Alper KORKMAZ

Makale detayları

Quintic B-spline Differential Quadrature for Burgers’ Equation

Yazarlar:

Alper KORKMAZ

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Science and Engineering 2018 Vol.15 Issue 1

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000903288

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 


In this study differential quadrature method based on quintic B-spline functions is setup for numerical solutions for nonlinear viscous Burgers’ equation. After space discretization with differential quadrature and application of boundary conditions, the resultant ordinary differential equation system is integrated in time by using Runge-Kutta method of order four. The method is validated by solving two initial value problems for the Burgers’ equation. The errors of the numerical solutions are measured by using discrete maximum norm. A comparison with some earlier works also given for the problem modeling fadeout of an initial shock.


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Makale detayları

Quintic B-spline Differential Quadrature for Burgers’ Equation

Yazarlar: Alper KORKMAZ

Yayıncı: Cankaya University

Dergi: Cankaya University Journal of Science and Engineering 2018 Vol.15 Issue 1

Belge Tipi: Makale

Yayın Tarihi: 5/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000903288

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Alper KORKMAZ

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Science and Engineering 2018 Vol.15 Issue 1

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000903288

Sıklık:

İki Yıllık

eISSN:

2564-7954