On the numerical simulation and convergence study for system of non-linear fractional dynamical model of marriage

M. Mohamed KHADER; Aml SHLOOF; Halima ALİ

Article Details

On the numerical simulation and convergence study for system of non-linear fractional dynamical model of marriage

Authors:

M. Mohamed KHADER | Aml SHLOOF | Halima ALİ

Publisher:

Biska Bilişim

Journal:

New Trends in Mathematical Sciences 2017 Vol.5 Issue 4, pp.130-141

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000829688

Frequency:

Quarterly

eISSN:

2147-5520

pISSN:

2147-5520

Abstract:

 


In this
article, an implementation of an efficient numerical method for solving the
system of coupled non-linear fractional (Caputo sense) dynamical model of
marriage (FDMM) is introduced. The proposed system describes the dynamics of
love affair between couples. The method is based on the spectral collocation
method using Legendre polynomials. The proposed method reduces FDMM to a system
of algebraic equations, which solved using Newton iteration method. Special
attention is given to study the convergence analysis and deduce an error upper
bound of the resulting approximate solution. Numerical simulation is given to
show the validity and the accuracy of the proposed method.

.

Article Details

On the numerical simulation and convergence study for system of non-linear fractional dynamical model of marriage

Authors: M. Mohamed KHADER | Aml SHLOOF | Halima ALİ

Publisher: Biska Bilişim

Journal: New Trends in Mathematical Sciences 2017 Vol.5 Issue 4, pp.130-141

Document Type: Article

Publication Date: 9/2017

Document Language: English

Document ID (Org No.): 2000829688

Frequency: Quarterly

eISSN: 2147-5520

pISSN: 2147-5520

Issues

Authors:

M. Mohamed KHADER | Aml SHLOOF | Halima ALİ

Publisher:

Biska Bilişim

Journal:

New Trends in Mathematical Sciences 2017 Vol.5 Issue 4, pp.130-141

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000829688

Frequency:

Quarterly

eISSN:

2147-5520

pISSN:

2147-5520