This paper compares fault position and Monte Carlo methods as the most common methods in stochastic assessment of voltage sags. To compare their abilities, symmetrical and unsymmetrical faults with different probability distribution of fault positions along the lines are applied in a test system. The voltage sag magnitude in different nodes of test system is calculated. The problem with the...

In this paper, we apply the variational iteration method (VIM) for solving telegraph equations, which arise in the propagation of electrical signals along a telegraph line. The suggested algorithm is more efficient and easier to handle as compare to the decomposition method. Numerical results show the efficiency and accuracy of the proposed VIM.

In this paper, we apply the Variational Iteration Method (VIM) for solving evolution equations. The method proved to be fully compatible for the solution of such equations. The higher accuracy of the numerical results shows complete reliability and efficiency of the suggested algorithm. Several examples are given to re-confirm the reliability of the VIM.

Global Krylov subspace methods are the most efficient and robust methods to solve generalized coupled Sylvester matrix equation. In this paper, we propose the nested splitting conjugate gradient process for solving this equation. This method has inner and outer iterations, which employs the generalized conjugate gradient method as an inner iteration to approximate each outer iterate, while each...

In this paper, we import interval method to the iteration for computing Moore-Penrose inverse of the full row (or column) rank matrix. Through modifying the classical Newton iteration by interval method, we can get better numerical results. The convergence of the interval iteration is proven. We also give some numerical examples to compare interval iteration with classical Newton iteration.

An asymptotic interation method for solving second-order homogeneous linear differential equations of the form y = λ0(x)y ′ + s0(x)y is introduced, where λ0(x) 6= 0 and s0(x) are C∞ functions. Applications to Schrödinger type problems, including some with highly singular potentials, are presented. PACS 03.65.Ge Asymptotic iteration method for eigenvalue problems page 2

Article history: Received 26 March 2010 Accepted 9 April 2010 Available online 18 April 2010 Communicated by R. Wu

Variational iteration method has been favourably applied to various kinds of nonlinear problems. The main property of the method is in its flexibility and ability to solve nonlinear equations accurately and conveniently. In this paper recent trends and developments in the use of the method are reviewed. Major applications to nonlinear wave equation, nonlinear fractional differential equations, ...

In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the propo...