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Generalized Iteration Method for First-Kind Integral Equations
Generalized Iteration Method First-Kind Integral Equations
2015/10/16
An iteration method is described to solve one-dimensional, first-kind integral equations with finite integration limits and difference kernel, K(x − x), that decays exponentially. The method re...
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Expression of generalized Newton iteration method via generalized local fractional Taylor series
Newton iteration method generalized local fractional Taylor series local fractional derivative real line number
2011/7/26
Abstract: In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line num...
Variational iteration method for solving coupled Schrodinger-KdV equation
Variational iteration method (VIM) the coupled Schrö dinger–KdV equation
2010/9/21
In this letter, we will consider variational iteration method (VIM) for finding analytical solutions of the coupled Schrödinger–KdV equation. The available analytical solutions of the coupled Sch...
Variational Iteration Method for Image Restoration
Variational Iteration Method Image Restoration Perona-Malik Equation
2010/11/26
The famous Perona-Malik (P-M) equation which was at first introduced for image restoration has been solved via various numerical methods. In this paper we will solve it for the first time via applying...
Application of variational iteration method to parabolic problems
partial differential equation one dimensional nonhomogeneous parabolic equations
2010/9/13
In this paper, the solutions of the one dimensional non-homogeneous parabolic equations with a variable coefficient are obtained by means of variational iteration method (VIM). The results reveal that...
The use of variational iteration method and homotopy perturbation method for Painleve equation I
Painlev`e equations Variational Iteration Method
2010/9/15
In this study, Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are employed to approximate solutions of Ppainlev´e equation I, with it’s initial conditions. VIM based o...
Application of variational iteration method to linear partial differential equations
dispersive PDEs variational iteration method
2010/9/17
The variational iteration method (VIM) is applied to the numerical simulation of linear third-order dispersive partial differential equations (PDEs). The VIM produces an approximate solution of the eq...
Application of variational iteration method for Stefan problem
Variational iteration method Stefan problem
2010/9/14
In this paper, the variational iteration method (VIM) is employed to obtain approximate analytical solutions of the Stefan problem. The method is capable of reducing the size of calculation and easily...
An explicit iteration method for convex feasibility problems in Hilbert spaces
Monotone operators Lipschitz continuous Tikhonov regularization
2010/9/10
The purpose of this note is to present an explicit iteration method that converges strongly for solving convex feasibility problems in Hilbert spaces.
A new approach to the gas dynamics equation: An application of the variational iteration method
Variational iteration method Nonlinear gas dynamics equation
2010/9/14
In this paper, He’s variational iteration method (VIM) has been used to obtain solution of nonlinear gas dynamics equation. This method is based on Lagrange multipliers for identification of optimal ...
Application of He's variational iteration method for solving seventh order Sawada-Kotera equations
Variational iteration method The seventh order Sawada-Kotera equation Lax’s seventh order KdV equation
2010/9/10
In this paper, He’s variational iteration method (VIM) has been used to obtain solutions of the seventh-order Sawada-Kotera equation (sSK) and a Lax’s seventh order KdV equations(LsKdV).The numerical ...
Exact and numerical solution of Kawahara equation by the variational iteration method
Variational iteration method Kawahara equation
2010/9/14
In this Letter, exact and numerical solutions are obtained for the Kawahara equation by the known variational iteration method (VIM). This method is based on Lagrange multipliers for identification of...
A more effective iteration method for solving algebraic equations
Nonlinear algebraic equations Iteration method Newtonmethod
2010/9/13
This note is concerned with the iteration numerical scheme for solving nonlinear algebraic equations. A more effective and more rapidly convergent iteration method is proposed, which improves the conv...