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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...
D-iteration: Evaluation of the Asynchronous Distributed Computation
Distributed computation Iteration Fixed point Eigenvector
2012/2/29
The aim of this paper is to present a first evaluation of the potential of an asynchronous distributed computation associated to the recently proposed approach, D-iteration: the D-iteration is a fluid...
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...
Implicit iteration methods in Hilbert scales under general smoothness conditions
Ill-posed problems inverse problems regularization Hilbert scales
2010/12/9
For solving linear ill-posed problems regularization methods are required when the right hand side is with some noise. In the present paper regularized solutions are obtained by implicit iteration met...
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...
A SPLITTING ITERATION METHOD FOR DOUBLE $X_0$-BREAKING BIFURCATIONPOINTS
Double $X_0$-breaking bifurcation point splitting iteration method extended system
2007/12/12
A splitting iteration method is proposed to compute double
$X_0$-breaking bifurcation points. The method will reduce the
computational work and storage, it converges linearly with an
adjustable spe...