THE MESHLESS KERNEL-BASED METHOD OF LINES FOR SOLVING THE DISSIPATIVE GENERALIZED SRLW EQUATIONS WITH DAMPING TERM

Bahar KARAMAN; Yılmaz DERELİ

Makale detayları

THE MESHLESS KERNEL-BASED METHOD OF LINES FOR SOLVING THE DISSIPATIVE GENERALIZED SRLW EQUATIONS WITH DAMPING TERM

Yazarlar:

Bahar KARAMAN | Yılmaz DERELİ

Yayıncı:

Eskisehir Technical University

Dergi:

Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 2020 Vol.8 Issue 1, pp.34-48

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000417600

pISSN:

2667-419X

Özet:

 


In this study, we dealt with numerical
solutions of the dissipative generalized symmetric regularized long wave
equations with damping term. The problem is a nonlinear partial differential
equations system. Numerical solutions of the problem were evaluated by using
the meshless kernel based method of lines for known initial-boundary conditions
on the given solution domain. This used numerical method is known to be a truly
meshless approximation because any separation method is required. Radial basis
functions are used as kernel functions on the meshless method. The performance
of this meshless method was illustrated on many standard test problems.
Numerical computations were performed by using Gaussian and Wendland’s
functions. Error comparisons for computed numerical results were made in the
sense of L error norm. Graphs of wave simulations for
test problems are plotted in this study. The results show that the used
meshless method is suitable to solve numerically to this type nonlinear
equations system.


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Makale detayları

THE MESHLESS KERNEL-BASED METHOD OF LINES FOR SOLVING THE DISSIPATIVE GENERALIZED SRLW EQUATIONS WITH DAMPING TERM

Yazarlar: Bahar KARAMAN | Yılmaz DERELİ

Yayıncı: Eskisehir Technical University

Dergi: Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 2020 Vol.8 Issue 1, pp.34-48

Belge Tipi: Makale

Yayın Tarihi: 2/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000417600

pISSN: 2667-419X

Sayı

Yazarlar:

Bahar KARAMAN | Yılmaz DERELİ

Yayıncı:

Eskisehir Technical University

Dergi:

Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 2020 Vol.8 Issue 1, pp.34-48

Belge Tipi:

Makale

Yayın Tarihi:

2/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000417600

pISSN:

2667-419X