F. Shakeri and M. Dehghan in [13] presented the variational iteration method for solving the model describing biological species living together. Here we suggest the differential transform (DT) method for finding the numerical solution of this problem. To this end, we give some preliminary results of the DT and by proving some theorems, we show that the DT method can be easily applied to mentio...

We present an improved version of a full Nesterov-Todd step infeasible interior-point method for linear complementarityproblem over symmetric cone (Bull. Iranian Math. Soc., 40(3), 541-564, (2014)). In the earlier version, each iteration consisted of one so-called feasibility step and a few -at most three - centering steps. Here, each iteration consists of only a feasibility step. Thus, the new...

The objective of this paper is to introduce the notion of semi-compatible maps in D-metric spaces and deduce fixed point theorems through semi-compatibility using orbital concept, which improve extend and generalize the results of Ume and Kim [8], Rhoades [7] and Dhage et. al [6]. All the results of this paper are new. AMS Mathematics Subject Classification (1991): 54H25, 47H10

in this parer the iteration method (kani's method) is developed for the analysis of arch - frames. the method takes the effect of linear displacements of joints automatically into account. therefore, it is more efficient than moment distribution method. the iteration procedure can be applied to any kind of framed structure. a hand calculator or a computer may be used in the analysis of fra...

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

The analysis of a number of physical phenomena requires the solution of an eigenproblem. It is therefore natural that with the increased use of computational methods operating on discrete representations of physical problems the development of efficient algorithms for the calculation of eigenvalues and eigenvectors has attracted much attention [l]-[8]. In particular, the use of finite element a...

in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

in this paper, he‘s variational iteration method is applied to fredholm integral equations of the second kind. to illustrate the ability and simplicity of the method, some examples are provided. the results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.