Homotopy perturbation and Variational iteration methods for nonlinear fractional integro-differential equations

M.H Saleh;  ; S.M. Amer; A.S Nagdy; M.E Alngar

doi:10.9790/5728-10456977

Homotopy perturbation and Variational iteration methods for nonlinear fractional integro-differential equations

IOSR Journal of Mathematics ◽

10.9790/5728-10456977 ◽

2014 ◽

Vol 10 (4) ◽

pp. 69-77

Author(s):

M.H Saleh ◽

◽

S.M. Amer ◽

A.S Nagdy ◽

M.E Alngar

Keyword(s):

Differential Equations ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods

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Application of homotopy perturbation and variational iteration methods for nonlinear imprecise prey–predator model with stability analysis

The Journal of Supercomputing ◽

10.1007/s11227-021-03956-5 ◽

2021 ◽

Author(s):

T. Vijayalakshmi ◽

R. Senthamarai

Keyword(s):

Stability Analysis ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods ◽

Predator Model

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Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.037 ◽

2007 ◽

Vol 54 (7-8) ◽

pp. 910-919 ◽

Cited By ~ 96

Author(s):

Shaher Momani ◽

Zaid Odibat

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Perturbation Method ◽

Iteration Method ◽

Homotopy Perturbation Method ◽

Variational Iteration Method ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Variational Iteration ◽

Homotopy Perturbation

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Coupling technique of variational iteration and homotopy perturbation methods for nonlinear matrix differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.074 ◽

2007 ◽

Vol 54 (7-8) ◽

pp. 1092-1100 ◽

Cited By ~ 16

Author(s):

Shu-Li Mei ◽

Sen-Wen Zhang

Keyword(s):

Differential Equations ◽

Perturbation Methods ◽

Coupling Technique ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Matrix Differential Equations ◽

Nonlinear Matrix ◽

Matrix Differential

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Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations

Acta Applicandae Mathematicae ◽

10.1007/s10440-008-9248-9 ◽

2008 ◽

Vol 104 (2) ◽

pp. 161-171 ◽

Cited By ~ 53

Author(s):

A. Barari ◽

M. Omidvar ◽

Abdoul R. Ghotbi ◽

D. D. Ganji

Keyword(s):

Differential Equations ◽

Perturbation Method ◽

Iteration Method ◽

Nonlinear Oscillator ◽

Homotopy Perturbation Method ◽

Variational Iteration Method ◽

Variational Iteration ◽

Homotopy Perturbation

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Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.10.004 ◽

2011 ◽

Vol 61 (8) ◽

pp. 2330-2341 ◽

Cited By ~ 46

Author(s):

Yasir Nawaz

Keyword(s):

Differential Equations ◽

Perturbation Method ◽

Fourth Order ◽

Iteration Method ◽

Homotopy Perturbation Method ◽

Variational Iteration Method ◽

Variational Iteration ◽

Homotopy Perturbation

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Assessment of Homotopy Perturbation and Variational Iteration Methods in Heat Transfer Equations

Advances in Mechatronics and Mechanical Engineering - Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer ◽

10.4018/978-1-5225-2713-8.ch004 ◽

2017 ◽

pp. 77-113

Keyword(s):

Heat Transfer ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Nonlinear Heat Transfer ◽

Transfer Equations ◽

Iteration Methods ◽

Transfer Problems

We explained VIM and HPM methods in Chapter 1 and Chapter 2. In this chapter, we compare these methods for nonlinear heat transfer problems.

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Analytical Study of Navier-Stokes Equation with Fractional Orders Using He's Homotopy Perturbation and Variational Iteration Methods

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2009.10.9.1127 ◽

2009 ◽

Vol 10 (9) ◽

Cited By ~ 18

Author(s):

Najeeb Alam Khan ◽

Asmat Ara ◽

Syed Anwer Ali ◽

Amir Mahmood

Keyword(s):

Stokes Equation ◽

Analytical Study ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods ◽

Fractional Orders

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Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation

International Journal of Computer Mathematics ◽

10.1080/00207160802524770 ◽

2010 ◽

Vol 87 (8) ◽

pp. 1872-1884 ◽

Cited By ~ 5

Author(s):

M. Safari ◽

D. D. Ganji ◽

E. M.M. Sadeghi

Keyword(s):

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods

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On the accuracy of homotopy perturbation and variational iteration methods for lateral broadening of a monoenergetic proton beam

Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms ◽

10.1016/j.nimb.2013.05.023 ◽

2013 ◽

Vol 312 ◽

pp. 70-76

Author(s):

Houshyar Noshad ◽

Seyyedeh Samira Bahador ◽

Saeed Mohammadi

Keyword(s):

Proton Beam ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods

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Solution of the Generalized Nonlinear Boussinesq Equation Using Homotopy Perturbation and Variational Iteration Methods

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns.2007.8.3.435 ◽

2007 ◽

Vol 8 (3) ◽

Cited By ~ 34

Author(s):

A. Sadighi ◽

D. D. Ganji

Keyword(s):

Boussinesq Equation ◽

Variational Iteration ◽

Homotopy Perturbation ◽

Iteration Methods

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