EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION

O. E. HEPSON; A. KORKMAZ; I. DAG

Makale detayları

EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION

Yazarlar:

O. E. HEPSON | A. KORKMAZ | I. DAG

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.267-278

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805575

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

The extended form of the classical polynomial cubic B-spline function is used to set up a collocation method for some initial boundary value problems derived for the Korteweg-de Vries-Burgers equation. Having nonexistence of third order derivatives of the cubic B-splines forces us to reduce the order of the term uxxx to give a coupled system of equations. The space discretization of this system is accomplished by the collocation method following the time discretization with Crank-Nicolson method. Two initial boundary value problems, one having analytical solution and the other is set up with a non analytical initial condition, have been simulated by the proposed method.

Makale detayları

EXTENDED B-SPLINE COLLOCATION METHOD FOR KDV-BURGERS EQUATION

Yazarlar: O. E. HEPSON | A. KORKMAZ | I. DAG

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.267-278

Belge Tipi: Makale

Yayın Tarihi: 5/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000805575

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

O. E. HEPSON | A. KORKMAZ | I. DAG

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.267-278

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805575

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147