A Comparison Between Analytical and Numerical Solutions for Time-Fractional Coupled Dispersive Long-Wave Equations

Medjahed DJİLALİ; Hakem ALI; Benali ABDELKADER

Makale detayları

A Comparison Between Analytical and Numerical Solutions for Time-Fractional Coupled Dispersive Long-Wave Equations

Yazarlar:

Medjahed DJİLALİ | Hakem ALI | Benali ABDELKADER

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2021 Vol.2 Issue 1, pp.8-29

Belge Tipi:

Makale

Yayın Tarihi:

1/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000422281

eISSN:

2717-6185

Özet:

 

In this article, a technique namely Tanh method is applied to obtain some traveling wave
solutions for coupled Dispersive Long-Wave equations, and by using LADM we obtain an approximate
solution to TFDLW (time-fractional DLW equations). A comparison between the traveling wave solution
and the approximate one of the DLW system indicates that Laplace Adomian Decomposition Method
(LADM) is highly accurate and can be considered a very useful and valuable method. The availability of
computer systems like Mathematica 11 software facilitates the tedious algebraic calculations and plots
of surfaces of solutions. The methods which we will propose in this paper are also standard, direct and
computerizable methods, which allows us to do complicated and tedious algebraic calculation.

Makale detayları

A Comparison Between Analytical and Numerical Solutions for Time-Fractional Coupled Dispersive Long-Wave Equations

Yazarlar: Medjahed DJİLALİ | Hakem ALI | Benali ABDELKADER

Yayıncı: Mustafa UÇKUN

Ana Başlıklar: Matematik

Dergi: Fundamentals of Contemporary Mathematical Sciences 2021 Vol.2 Issue 1, pp.8-29

Belge Tipi: Makale

Yayın Tarihi: 1/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000422281

eISSN: 2717-6185

Sayı

Yazarlar:

Medjahed DJİLALİ | Hakem ALI | Benali ABDELKADER

Yayıncı:

Mustafa UÇKUN

Ana Başlıklar:

Matematik

Dergi:

Fundamentals of Contemporary Mathematical Sciences 2021 Vol.2 Issue 1, pp.8-29

Belge Tipi:

Makale

Yayın Tarihi:

1/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000422281

eISSN:

2717-6185