NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS

A. KORKMAZ; H. K. AKMAZ

Makale detayları

NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS

Yazarlar:

A. KORKMAZ | H. K. AKMAZ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 1.1, pp.167-177

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000805751

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this study, trigonometric cubic B-spline dierential quadrature method is developed for a linear transport problems constructed on the advection-diusion equation. The weighting coecients used in the derivative approximations are determined by using the proposed algorithm. Following the space discretization of the advectiondi usion equation, the resultant ODE system is integrated in time by using Rosenbrock implicit method of order four. The accuracy and validity of the proposed method are indicated by solving some initial boundary value problems  IBVPs  representing fade out of an initial positive pulse. The error between the analytical and the numerical solutions is measured by using the discrete maximum norm.

Makale detayları

NUMERICAL SOLUTION OF NON-CONSERVATIVE LINEAR TRANSPORT PROBLEMS

Yazarlar: A. KORKMAZ | H. K. AKMAZ

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 1.1, pp.167-177

Belge Tipi: Makale

Yayın Tarihi: 8/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000805751

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

A. KORKMAZ | H. K. AKMAZ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 1.1, pp.167-177

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000805751

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147