Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Murat YAĞMURLU; Yusuf UÇAR; Alaattin ESEN

Makale detayları

Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Yazarlar:

Murat YAĞMURLU | Yusuf UÇAR | Alaattin ESEN

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2020 Vol.1 Issue 1, pp.1-13

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000422300

eISSN:

2717-6185

Özet:

 

The present article focuses on obtaining numerical solutions of time fractional KdV-Burger-Kuramoto equation (KBK) with the finite element collocation method. The finite element collocation methods are common and effective tool for solving nonlinear problems because of their reasonable computational costs. The idea underlying the method is seeking the numerical solutions in a form of a linear combination of unknown functions with basis at nodal points by avoid of integration. Thus, in this article, we achieve more accurate numerical results are obtained with the application of the method to KBK equation. Additionally, we show the efficiency and effectiveness of the method using comparisons of numerical results with exact solutions via error norms and their simulations.

Makale detayları

Collocation Method for the KdV-Burgers-Kuramoto Equation with Caputo Fractional Derivative

Yazarlar: Murat YAĞMURLU | Yusuf UÇAR | Alaattin ESEN

Yayıncı: Mustafa UÇKUN

Ana Başlıklar: Matematik

Dergi: Fundamentals of Contemporary Mathematical Sciences 2020 Vol.1 Issue 1, pp.1-13

Belge Tipi: Makale

Yayın Tarihi: 1/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000422300

eISSN: 2717-6185

Sayı

Yazarlar:

Murat YAĞMURLU | Yusuf UÇAR | Alaattin ESEN

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2020 Vol.1 Issue 1, pp.1-13

Belge Tipi:

Makale

Yayın Tarihi:

1/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000422300

eISSN:

2717-6185