A convergent two-level linear scheme for the generalized  Rosenau-KdV-RLW equation

Ayhan AYDIN

Makale detayları

A convergent two-level linear scheme for the generalized Rosenau-KdV-RLW equation

Yazarlar:

Ayhan AYDIN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2226-2245

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745526

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

A new convergent two-level finite difference scheme is proposed for the  numerical solution of initial value problem of the generalized Rosenau--KdV--RLW  equation. The new scheme is second-order, linear, conservative, and unconditionally stable. It contains one free  parameter. The impact of the parameter to error of the numerical solution is  studied. The prior estimate of the finite difference solution is obtained.  The existence, uniqueness, and convergence of the scheme are proved by the discrete energy method.  Accuracy and reliability of the scheme are tested by simulating the  solitary wave graph of the equation. Wave generation subject to initial  Gaussian condition has been studied numerically.  Different wave generations are observed depending on the dispersion coefficients and  the nonlinear advection term. Numerical experiments indicate that the present scheme is conservative, efficient, and   of high accuracy, and well simulates the solitary waves for a long time.

Makale detayları

A convergent two-level linear scheme for the generalized Rosenau-KdV-RLW equation

Yazarlar: Ayhan AYDIN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2226-2245

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745526

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Ayhan AYDIN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2226-2245

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745526

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098