Variational Iteration Method for Solving Two Dimensional Volterra - Fredholm Nonlinear Integral Equations

Saleh, M. H.; Mohamed, D. Sh.; Taher, R.A.

doi:10.5120/ijca2016911822

IJCA

2016

DOI: 10.5120/ijca2016911822

|View full text |Cite

Variational Iteration Method for Solving Two Dimensional Volterra - Fredholm Nonlinear Integral Equations

M. H. Saleh¹,

D. Sh. Mohamed²,

R.A. Taher³

Abstract: In this paper we investigate the numerical solution of two dimensional Volterra-Fredholm integralequations by Variational iteration method. Two numerical examples are given to illustrate themethod.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 10 publications

(7 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

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

Al-Saar

Ghadle

2021

Results in Nonlinear Analysis

View full text Add to dashboard Cite

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

show abstract

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

Al-Saar

Ghadle

2021

Results in Nonlinear Analysis

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Variational Iteration Method for Solving Two Dimensional Volterra - Fredholm Nonlinear Integral Equations

Abstract: In this paper we investigate the numerical solution of two dimensional Volterra-Fredholm integralequations by Variational iteration method. Two numerical examples are given to illustrate themethod.

Cited by 1 publication

References 10 publications

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

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

Contact Info

Product

Resources

About