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  • List of Articles


      • Open Access Article

        1 - STABILITY ANALYSIS OF A PLANKTON SYSTEM WITH DELAY
        A. K. Sharma A. Sharma
        This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is u More
        This paper is evolved to have insight of Plankton-Nutrients interactions in the presence of delay in the growth term of phytoplankton species .The conditions for asymptotic stability about endemic equilibrium are derived in the absence of delay.The Nyquist criteria is used to estimate the length of delay to preserve stability .Analytic criterion for the existence of hopf-bifurcation is also discussed. Manuscript profile
      • Open Access Article

        2 - SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS
        A. Lamnii H. Mraoui
        The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.
        The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique. Manuscript profile
      • Open Access Article

        3 - B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION
        J. Rashidinia F. Esfahani S. Jamalzadeh
        We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method More
        We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach. Manuscript profile
      • Open Access Article

        4 - MEAN VALUE INTERPOLATION ON SPHERES
        Kh. Rahsepar Fard
        In this paper we consider multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have concentric spheres. Indeed, we consider the problem in three variables when it is not correct.
        In this paper we consider multivariate Lagrange mean-value interpolation problem, where interpolation parameters are integrals over spheres. We have concentric spheres. Indeed, we consider the problem in three variables when it is not correct. Manuscript profile
      • Open Access Article

        5 - THE USE OF A RUNGE-KUTTA SCHEME FOR AN ODE-PDE MODEL OF SUPPLY CHAINS
        M. A. Fariborzi Araghi S. Mamizadeh Chatghayeh
        Integrating various suppliers to satisfy market demand is of great importance for e ective supply chain management. In this paper, we consider the ODE-PDE model of supply chain and apply a classical explicit fourth-order Runge-Kutta scheme for the related ODE model of s More
        Integrating various suppliers to satisfy market demand is of great importance for e ective supply chain management. In this paper, we consider the ODE-PDE model of supply chain and apply a classical explicit fourth-order Runge-Kutta scheme for the related ODE model of suppliers. Also, the convergence of the proposed method is proved. Finally a numerical example is studied to demonstrate the accuracy of the proposed method with different choices of time and space meshes. Manuscript profile
      • Open Access Article

        6 - APPLICATION OF HPM AND HAM TO THE FIRST FORM OF BLASIUS EQUATION
        H. Towsyfyan G. Davoudi
        In this work, the Blasius equation is studied. Homotopy perturbation method (HPM) and homotopy analysis method (HAM) are applied to obtain its solution. Comparison with variational iteration method (VIM) is made to highlight the significant features of employed methods More
        In this work, the Blasius equation is studied. Homotopy perturbation method (HPM) and homotopy analysis method (HAM) are applied to obtain its solution. Comparison with variational iteration method (VIM) is made to highlight the significant features of employed methods and their capability of handling nonlinear problems. The outcome shows the success of (HPM) and (HAM) for solving nonlinear problems arising in fluid mechanics. Manuscript profile
      • Open Access Article

        7 - APPLICATION OF FUZZY EXPANSION METHODS FOR SOLVING FUZZY FREDHOLM- VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND
        Sh. S. Fallah Jelodar T. Allahviranloo S. Abbasbandy
        In this paper we intend to offer new numerical methods to solvethe fuzzy Fredholm- Volterra integral equations of the firstkind $(FVFIE-1)$. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods.
        In this paper we intend to offer new numerical methods to solvethe fuzzy Fredholm- Volterra integral equations of the firstkind $(FVFIE-1)$. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods. Manuscript profile
      • Open Access Article

        8 - ENERGY AWARE DISTRIBUTED PARTITIONING DETECTION AND CONNECTIVITY RESTORATION ALGORITHM IN WIRELESS SENSOR NETWORKS
        M. Jahanshahi M. Maddah N. Najafizadegan
        Mobile sensor networks rely heavily on inter-sensor connectivity for collection of data. Nodes in these networks monitor different regions of an area of interest and collectively present a global overview of some monitored activities or phenomena. A failure of a sensor More
        Mobile sensor networks rely heavily on inter-sensor connectivity for collection of data. Nodes in these networks monitor different regions of an area of interest and collectively present a global overview of some monitored activities or phenomena. A failure of a sensor leads to loss of connectivity and may cause partitioning of the network into disjoint segments. A number of approaches have been recently proposed that pursue node relocation in order to restore connectivity.DCR is a distributed partitioning detection and connectivity restoration algorithm to tolerate the failure of sensors. DCR proactively identifies sensors that are critical to the network connectivity based on local topological information, and designates appropriate, preferably non-critical, backup nodes. Upon failure detection, the backup sensor initiates a recovery process that may involve coordinated relocation of multiple sensors.Here we proposed Energy aware distributed partitioning detection and connectivity restoration algorithmthat is an improvement of DCR algorithm. Therefore reducing the message exchange overhead, lower energy consumption, and thus will increase the network lifetime. Manuscript profile