An Analytical Approximate Solution of Linear, System of Linear and Non Linear Volterra Integral Equations Using Variational Iteration Method

2019 ◽  
Author(s):  
Shruti S. Sheth ◽  
Dr. Twinkle Singh
Keyword(s):  
Approximate Solution ◽  
Linear System ◽  
Integral Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Volterra Integral Equations ◽  
Analytical Approximate Solution ◽  
Variational Iteration ◽  
Non Linear ◽  
Linear Volterra Integral Equations

scholarly journals Analytical approximate solution of higher order boundary value problems via variational iteration method

BIBECHANA ◽  
2017 ◽  
Vol 15 ◽  
pp. 37-42
Author(s):  
Jamshad Ahmad ◽  
Zobia Hamid
Keyword(s):  
Approximate Solution ◽  
Mathematical Models ◽  
Boundary Value Problems ◽  
Iteration Method ◽  
Boundary Value ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Higher Order ◽  
Analytical Approximate Solution ◽  
Variational Iteration

In this paper, application of variational iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value problems. We emphasize the power of the method by testing three different mathematical models of distinct orders. The results are obtained by using only little iteration.  BIBECHANA 15 (2018) 37-42

scholarly journals Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Birol İbiş ◽  
Mustafa Bayram
Keyword(s):  
Approximate Solution ◽  
Dispersion Equation ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Convergent Series ◽  
High Accuracy ◽  
Analytical Approximate Solution ◽  
Variational Iteration ◽  
Advection Dispersion ◽  
Liouville Derivative

This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs.

scholarly journals The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Abdelouahab Kadem ◽  
Adem Kilicman
Keyword(s):  
Approximate Solution ◽  
Perturbation Method ◽  
Iteration Method ◽  
Homotopy Perturbation Method ◽  
Perturbation Methods ◽  
Variational Iteration Method ◽  
Integrodifferential Equations ◽  
Variational Iteration ◽  
Homotopy Perturbation ◽  
Constant Coefficients

Variational iteration method and homotopy perturbation method are used to solve the fractional Fredholm integrodifferential equations with constant coefficients. The obtained results indicate that the method is efficient and also accurate.

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