Results 11 to 20 of about 11,179,949 (250)

Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation [PDF]

open access: yesAbstract and Applied Analysis, 2014
We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional.
Qian Lijuan, Tian Lixin, Ma Kaiping
doaj   +2 more sources

A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]

open access: yes, 2008
The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
core   +6 more sources

Successive Approximation, Variational Iteration, and Multistage-Analytical Methods for a SEIR Model of Infectious Disease Involving Vaccination Strategy

open access: yesCommunication in Biomathematical Sciences, 2021
We consider a SEIR model for the spread (transmission) of an infectious disease. The model has played an important role due to world pandemic disease spread cases. Our contributions in this paper are three folds.
Sudi Mungkasi
doaj   +1 more source

Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials”

open access: yesAbstract and Applied Analysis, 2012
Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials.
Ji-Huan He
doaj   +1 more source

Notes on the optimal variational iteration method [PDF]

open access: yes, 2012
Here, various variational iteration algorithms are compared. An auxiliary parameter can be introduced in the iteration procedure, and can be identified optimally, which results in Turkyilmazoglu’s optimal variational iteration method.
He, Ji-Huan
core   +1 more source

Modified variational iteration method for Boussinesq equation [PDF]

open access: yes, 2007
This paper applies the modified variational iteration method to solve a class of nonlinear partial differential equations. Boussinesq equation is used as a case-study to illustrate the simplicity and effectiveness of the method.
El-Tawil, Magdy A.   +2 more
core   +1 more source

A Novel Iterative Scheme and Its Application to Differential Equations

open access: yesThe Scientific World Journal, 2014
The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian ...
Yasir Khan, F. Naeem, Zdeněk Šmarda
doaj   +1 more source

Modified variational iteration method (nonlinear homogeneous initial value problem) [PDF]

open access: yes, 2010
The modified variational iteration method is applied for analytical treatment of nonlinear homogeneous initial value problem. The modified variational iteration method accelerates the convergence of the power series solution and reduces the size of work.
Abassy, Tamer A.
core   +1 more source

Comparative analysis of new approximate analytical method and Mohand variational transform method for the solution of wave-like equations with variable coefficients

open access: yesResults in Physics, 2023
In a current article, two novel analytical approaches are compared for analytical analysis of wave like equations with variable coefficients, which describe the evolution of stochastic phenomena.
Hijaz Ahmad   +5 more
doaj   +1 more source

Variational iteration method for solving wave equation [PDF]

open access: yes, 2008
By the variational iteration method the solution of the wave equation in different forms is exactly obtained. The obtained solutions show that the variational iteration method is effective, simple and easy compared with many of the other methods.
Hemeda, A.A.
core   +1 more source

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