Approximate solution of time-fractional KdV equations by residual power series method

Mehmet ŞENOL; Ayşe ATA

doi:https://doi.org/10.25092/baunfbed.418471

Article Details

Approximate solution of time-fractional KdV equations by residual power series method

Authors:

Mehmet ŞENOL | Ayşe ATA

Publisher:

Balıkesir University

Journal:

Journal of Balıkesir University Institute of Science and Technology 2018 Vol.20 Issue 1, pp.430-439

Document Type:

Article

Publication Date:

4/2018

Document Language:

English

Document ID (Org No.):

2000925434

Frequency:

Bi-Annual

eISSN:

2536-5142

pISSN:

1301-7985

DOI:

https://doi.org/10.25092/baunfbed.418471

Keywords:

Abstract:

 


In
this article, approximate solutions of the time-fractional Korteveg de Vries
(KdV) and modified version of it is obtained by using the residual power series
method (RPSM). Numerical results are given and then they are compared with the
exact solutions both numerically and graphically. The results show that the
present method is very successful, effective and reliable.

.

 


Bu
çalışmada zaman-kesirli Korteveg de Vries (KdV) denkleminin ve modifiye edilmiş
halinin rezidual kuvvet serisi metodu (RPSM) ile yaklaşık çözümü elde
edilmiştir.  Nümerik sonuçlar verilmiş ve
bu sonuçlar tam çözümle nümerik ve grafiksel olarak karşılaştırılmıştır.  Bulunan sonuçlar kullanılan yöntemin gayet
başarılı, etkili ve güvenilir olduğunu ortaya koymaktadır.

.

Article Details

Approximate solution of time-fractional KdV equations by residual power series method

Authors:

Mehmet ŞENOL | Ayşe ATA

Publisher:

Balıkesir University

Journal:

Journal of Balıkesir University Institute of Science and Technology 2018 Vol.20 Issue 1, pp.430-439

Document Type:

Article

Publication Date:

4/2018

Document Language:

English

Document ID (Org No.):

2000925434

Frequency:

Bi-Annual

eISSN:

2536-5142

pISSN:

1301-7985

DOI:

https://doi.org/10.25092/baunfbed.418471

Residual kuvvet serisi yöntemi

KdV denklemi

Caputo kesirli türevi

Kesirli kısmi diferansiyel denklem

Issues

Article Details

Approximate solution of time-fractional KdV equations by residual power series method

Authors: Mehmet ŞENOL | Ayşe ATA

Publisher: Balıkesir University

Journal: Journal of Balıkesir University Institute of Science and Technology 2018 Vol.20 Issue 1, pp.430-439

Document Type: Article

Publication Date: 4/2018

Document Language: English

Document ID (Org No.): 2000925434

Frequency: Bi-Annual

eISSN: 2536-5142

pISSN: 1301-7985

DOI: https://doi.org/10.25092/baunfbed.418471

Residual kuvvet serisi yöntemi

KdV denklemi

Caputo kesirli türevi

Kesirli kısmi diferansiyel denklem

Issues

Authors:

Mehmet ŞENOL | Ayşe ATA

Publisher:

Balıkesir University

Journal:

Journal of Balıkesir University Institute of Science and Technology 2018 Vol.20 Issue 1, pp.430-439

Document Type:

Article

Publication Date:

4/2018

Document Language:

English

Document ID (Org No.):

2000925434

Frequency:

Bi-Annual

eISSN:

2536-5142

pISSN:

1301-7985

DOI:

https://doi.org/10.25092/baunfbed.418471