Finite Difference Solution to the Space-Time Fractional  Partial Differential-Difference Toda Lattice Equation

Refet POLAT

doi:https://doi.org/10.33187/jmsm.460001

Makale detayları

Finite Difference Solution to the Space-Time Fractional Partial Differential-Difference Toda Lattice Equation

Yazarlar:

Refet POLAT

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 3, pp.202-205

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000486709

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.460001

Özet:

 


This paper deals with the numerical solution of space-time fractional partial differential-difference Toda lattice equation ∂2αun∂xα∂tα=(1+∂αun∂tα)(un−1−2un+un+1)∂2αun∂xα∂tα=(1+∂αun∂tα)(un−1−2un+un+1)\frac{\partial^{2\alpha} u_n}{\partial x^{\alpha}\partial t^{\alpha}}=(1+\frac{\partial^\alpha u_n}{\partial t^{\alpha}})(u_{n-1}-2u_n+u_{n+1}), α∈(0,1)α∈(0,1)\alpha \in (0,1). The finite differences method (FD-method) is used for numerical solution of this problem. According to the method, we approximate the unknown values ununu_n of the desired function by finite differences approximation. As an application we demonstrate the capabilities of this method for identification of various values of order of fractional derivative αα\alpha. Numerical results show that the proposed version of FD-method allows to obtain all data from the initial and boundary conditions with enough high accuracy.

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Makale detayları

Finite Difference Solution to the Space-Time Fractional Partial Differential-Difference Toda Lattice Equation

Yazarlar: Refet POLAT

Yayıncı: Mahmut AKYİĞİT

Ana Başlıklar: Matematik

Dergi: Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 3, pp.202-205

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000486709

Sıklık: Aylık

pISSN: 2636-8692

DOI: https://doi.org/10.33187/jmsm.460001

Sayı

Yazarlar:

Refet POLAT

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 3, pp.202-205

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000486709

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.460001