Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Fawziah AL-SAAR; Kirtiwant GHADLE

doi:https://doi.org/10.53006/rna.988774

Makale detayları

Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Yazarlar:

Fawziah AL-SAAR | Kirtiwant GHADLE

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Results in Nonlinear Analysis 2021 Vol.4 Issue 4, pp.244-262

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000604726

Sıklık:

Üç Aylık

eISSN:

2636-7556

DOI:

https://doi.org/10.53006/rna.988774

Özet:

 

In this paper, we apply the homotopy perturbation method (HPM), modified homotopy perturbation method(MHPM), variational iteration method (VIM), Adomian decomposition method (ADM), and modified Adomian decomposition method (MADM) to solve nonlinear mixed Volterra-Fredholm integral equations and itssystem. We investigate the approximate solution of this equation and its system via proposed methods. Thevalidity and efficiency of these methods are demonstrated through various numerical examples that illustratethe efficiency, accuracy, and simplicity of the proposed methods. Moreover, the convergence and uniquenessof the solution of the suggested methods are confirmed and compared with the exact solutions.

Makale detayları

Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system

Yazarlar: Fawziah AL-SAAR | Kirtiwant GHADLE

Yayıncı: Erdal KARAPINAR

Ana Başlıklar: Matematik

Dergi: Results in Nonlinear Analysis 2021 Vol.4 Issue 4, pp.244-262

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000604726

Sıklık: Üç Aylık

eISSN: 2636-7556

DOI: https://doi.org/10.53006/rna.988774

Sayı

Yazarlar:

Fawziah AL-SAAR | Kirtiwant GHADLE

Yayıncı:

Erdal KARAPINAR

Ana Başlıklar:

Matematik

Dergi:

Results in Nonlinear Analysis 2021 Vol.4 Issue 4, pp.244-262

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000604726

Sıklık:

Üç Aylık

eISSN:

2636-7556

DOI:

https://doi.org/10.53006/rna.988774