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Showing papers in "Mathematical and Computer Modelling in 2010"


Journal ArticleDOI
TL;DR: A new image encryption scheme based on DNA sequence addition operation and chaos that not only can achieve good encryption, but can also resist exhaustive attack, statistical attack and differential attack.

326 citations


Journal ArticleDOI
TL;DR: A correlation coefficient (CC) and standard deviation (SD) integrated approach for determining the weights of attributes in multiple attribute decision making (MADM) and a global sensitivity analysis to the weights determined are proposed to ensure the stability of the best decision alternative or alternative ranking.

283 citations


Journal ArticleDOI
TL;DR: A bibliography on retrial queues which updates the bibliography published in this journal in Artalejo (1999) is presented, focused on the progress made during the last decade 2000-2009.

263 citations


Journal ArticleDOI
TL;DR: This paper focuses on establishing stability theorems for fractional differential system with Riemann-Liouville derivative, in particular the analysis covers the linear system, the perturbed system and the time-delayed system.

190 citations


Journal ArticleDOI
TL;DR: This work studies the uniqueness problem of the best completion for two weighting methods, the Eigenvector Method and the Logarithmic Least Squares Method, and obtains the same simple graph theoretic characterization of the uniqueness.

174 citations


Journal ArticleDOI
TL;DR: An alternative approach of the variational iteration method is presented, then the convergence of the method for nonlinear differential equations is studied to address the sufficient condition for convergence and the error estimate.

169 citations


Journal ArticleDOI
TL;DR: AR(1) model developed for VTCI series can be used for the drought forecasting in the Guanzhong Plain and the results show that forecasting accuracy is better, 1 step is better than 2 steps.

164 citations


Journal ArticleDOI
TL;DR: An efficient numerical method based on uniform Haar wavelets for the numerical solution of second-order boundary-value problems (BVPs) arising in the mathematical modeling of deformation of beams and plate deflection theory, deflection of a cantilever beam under a concentrated load, obstacle problems and many other engineering applications.

162 citations


Journal ArticleDOI
TL;DR: In this paper, the concept of a @W-distance on a complete partially ordered G-metric space is considered and some fixed point theorems are proved.

162 citations


Journal ArticleDOI
TL;DR: The objective of this paper is to establish some sufficient conditions which ensure that all nonoscillatory solutions of (E^+/-) converge to zero.

156 citations


Journal ArticleDOI
TL;DR: The purpose of the current article is to analyze the influence of magnetohydrodynamics (MHD) on the pipe flow of a third-grade fluid with variable viscosity by obtaining expressions for the velocity and temperature using the homotopy analysis method (HAM).

Journal ArticleDOI
TL;DR: An application of Artificial Neural Networks to model the failure rate and estimate the optimal replacement time for the individual pipes in an urban water distribution system using a 14-year data set collected in a city in the north of France.

Journal ArticleDOI
TL;DR: Here a Caputo like discrete nabla fractional difference is defined and it is produced for the first time and related discrete nabLA fractional Opial, Ostrowski, Poincare and Sobolev type inequalities are derived.

Journal ArticleDOI
TL;DR: The Delta Fractional Calculus on Time Scales is developed and related integral inequalities of types: Poincare, Sobolev, Opial, Ostrowski and Hilbert-Pachpatte are produced.

Journal ArticleDOI
TL;DR: A new approach implementing a modified decomposition method in combination with the cubic B-spline collocation technique is introduced for the numerical solution of a class of singular boundary value problems arising in physiology, showing that the method yields a numerical solution in very good agreement with the existing exact and approximate solutions.

Journal ArticleDOI
TL;DR: A hierarchical least-squares based iterative identification algorithm is derived for multivariable systems with moving average noises and makes full use of all data at each iteration and thus can generate highly accurate parameter estimates.

Journal ArticleDOI
TL;DR: The polynomial transformation technique is employed to transform the AR models into models which can be identified from available scarce observations, then the extended stochastic gradient algorithm is proposed to fit the time series with missing observations.

Journal ArticleDOI
TL;DR: Assessment of delays concerning the stimulation of the immune system by tumour cells, as well as the interplay between antitumour immunotherapies and delays shows that nonlinear resonances and chaos may arise, although for parameters slightly outside the range of biological realism.

Journal ArticleDOI
TL;DR: An agent-based parallel approach for the job shop scheduling problem in which creating the initial population and parallelizing the genetic algorithm are carried out in an agent- based manner is proposed and shows that this approach improves the efficiency.

Journal ArticleDOI
TL;DR: This paper deals with the parameter identification problem of Hammerstein output error auto-regressive (OEAR) systems with different nonlinearities by combining the key-term separation principle and the auxiliary model identification idea to present auxiliary model based recursive generalized least squares algorithms in terms of the auxiliarymodel idea.

Journal ArticleDOI
TL;DR: The results of numerical experiments show that the combination of a compact finite difference approximation of fourth order and a fourth-order A-stable DIRKN method gives an efficient algorithm for solving the one-dimensional sine-Gordon equation.

Journal ArticleDOI
TL;DR: The analytical and numerical solutions of the proposed problem have been computed and analyzed and the graphical results are displayed to see the effects of various physical parameters of interest.

Journal ArticleDOI
TL;DR: It is observed that with current computational tools it is easy to obtain, in an efficient way, better solutions to Dengue problems, leading to a decrease in the number of infected mosquitoes and individuals in less time and with lower costs.

Journal ArticleDOI
TL;DR: The main interest of mean field games in this work is to simplify the interactions between pedestrians, and a continuum formulation of the crowd dynamics and nonlinear systems involving partial differential equations of crowd models is derived.

Journal ArticleDOI
TL;DR: These spaces are linearly isomorphic to the spaces c"0 and c, respectively and are derived from the @a-, @b- and @c-duals of those spaces and construct their bases.

Journal ArticleDOI
TL;DR: The results show that the FMCDM model can be used to explain the evaluation and decision-making procedures of hub location selection well and is demonstrated with a case study of hub locations in southeastern Asia.

Journal ArticleDOI
TL;DR: The results establish a new set of stability criteria for reaction-diffusion neural networks and have improved the previous results.

Journal ArticleDOI
TL;DR: An interesting multi-item EOQ (Economic Order Quantity) model is established when the time varying demand is influenced by enterprises' initiatives like advertising media and salesmen' effort for deteriorating and ameliorating items with capacity constraint for storage facility.

Journal ArticleDOI
TL;DR: The effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel are studied analytically and numerically and the graphical results are presented to interpret various physical parameter of interest.

Journal ArticleDOI
TL;DR: In this paper, linear and bilinear generating relations for extended hypergeometric functions are obtained by defining the extension of the fractional derivative operator.