Dynamic Reconstruction for Nonlinear Equations Describing the Process of Innovation Diffusion
نویسندگان
چکیده
Abstract The problem of dynamic reconstruction of an unknown coordinate in a system of nonlinear equations describing the process of innovation diffusion from results of observations of phase state is considered. An algorithm for solving this problem, which is stable with respect to informational noises and computational errors, is suggested. The algorithm is based on the principle of auxiliary models with adaptive controls.
منابع مشابه
Improved Mathematical Model for Helicopters Flight Dynamics Applications
The purpose of this paper is concerned with the mathematical model development issues, necessary for a better prediction of dynamic responses of articulated rotor helicopters. The methodology is laid out based on mathematical model development for an articulated rotor helicopters, using the theories of aeroelastisity, finite element and the time domain compressible unsteady aerodynamics. The he...
متن کامل3D Finite element modeling for Dynamic Behavior Evaluation of Marin Risers Due to VIV and Internal Flow
The complete 3D nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. For describing the dynamics of the system, the Newtonian derivation procedure is followed. The velocity field inside the pipe formulated using hydrostatic and Bernoulli equations. The hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...
متن کاملNumerical Simulation of a Lead-Acid Battery Discharge Process using a Developed Framework on Graphic Processing Units
In the present work, a framework is developed for implementation of finite difference schemes on Graphic Processing Units (GPU). The framework is developed using the CUDA language and C++ template meta-programming techniques. The framework is also applicable for other numerical methods which can be represented similar to finite difference schemes such as finite volume methods on structured grid...
متن کاملAnalytical Investigation of Jeffery-hamel Fow with High Magnetic Field and Nano Particle by RVIM
Many researchers have been interested in application of mathematical methods to find analytical solutions of nonlinear equations and for this purpose, new methods have been developed. One of the newest analytical methods to solve nonlinear equations is Reconstruction of variational Iteration Method (RVIM) which is an accurate and a rapid convergence method in finding the approximate solution fo...
متن کاملA New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations
Fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. For that reason, we need a reliable and efficient technique for the solution of fractional differential equations. The aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...
متن کامل