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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...
Several Pairs of Differential Operators and Their Applications in Variational Calculusof a General Third Order Energy
Di甧rential operator Euler-Lagrange equation Complete-variation Geo-metric energy functional Curvature
2012/8/8
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im-
portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge-
ometry, computational geometry a...
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Regularization of Linear Ill-posed Problems Augmented Lagrangian Method Variational Inequalities Numerical Analysis
2012/4/23
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived un...
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...
Surface tension of multi-phase flow with multiple junctions governed by the variational principle
multi-phase flow Surface tension variational principle Numerical Analysis
2011/10/8
Abstract: We explore a computational model of an incompressible fluid with a multi-phase field in three-dimensional Euclidean space. By investigating an incompressible fluid with a two-phase field geo...
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...
The purpose of this paper is to investigate theiterative algorithm for finding approximate solutions of a classof mixed variational-like inequalities in a real Hilbert space,where the iterative algori...
ALTERNATING PROJECTION BASED PREDICTION-CORRECTION METHODS FOR STRUCTURED VARIATIONAL INEQUALITIES
Structured variational inequality Monotonicity Prediction-correction method
2007/12/11
The monotone variational inequalities VI$(\Omega,F)$ have vast applications,
including optimal controls and convex programming. In this paper we focus
on the VI problems that have a particular split...