نتایج جستجو برای: ordinary differential equations ode
تعداد نتایج: 501308 فیلتر نتایج به سال:
We present algorithms which involve both the splitting of formal series solutions to linear ordinary differential equations with polynomial coefficients into a finite sum of subseries which themselves will be solutions of linear ODEs, and the simplification of the recurrence relations satisfied by their coefficients.When coping with series that are solutions of a given differential equation at ...
In this report a model of Differential and Algebraic Equations (DAE) for the dynamics of a rotating laser deflecting system, which is a multibody system, is derived. Classical numerical integration software isn't however able to solve these equations, so the possiblity to transform the model into a set of Ordinary Differential Equations (ODE) is investigated. Elimination of the algebraic equati...
Modeling spreading processes in complex random networks plays an essential role in understanding and prediction of many real phenomena like epidemics or rumor spreading. The dynamics of such systems may be represented algorithmically by Monte-Carlo simulations on graphs or by ordinary differential equations (ODEs). Despite many results in the area of network modeling the selection of the best c...
Differential-algebraic equations (DAE) systems arise naturally from modelling many dynamic systems and are more difficult to handle than ordinary differential equation (ODE) systems. For instance, it is well known that difficulty arises when DAE's are solved with inconsistent initial values. Furthermore, the solution of high-index problems requires specially designed integration methods or inde...
We put forward a new method for the solution of eigenvalue problems for (systems of) ordinary differential equations, where our main focus is on eigenvalue problems for singular Schrödinger equations arising, for example, in electronic structure computations. Here, the generation of the starting values for the computation of eigenvalues of higher index is a critical issue. Our approach comprise...
Ordinary differential equations(ODEs) with stochastic processes in their vector field, have lots of applications in science and engineering. The main purpose of this article is to investigate the numerical methods for ODEs with Wiener and Compound Poisson processes in more than one dimension. Ordinary differential equations with Ito diffusion which is a solution of an Ito stochastic differentia...
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
The existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully describe the long time evolution of the soliton. The slow dynamics of the soliton around the fixed points for the width and chirp are investigated and the cor...
This contribution concerns the problem of finite dimensional control for a class of systems described by nonlinear hyperbolic-parabolic coupled partial differential equations (PDE’s). Initially, Galerkin’s method is applied to the PDE system to derive a nonlinear ordinary differential equation (ODE) system that accurately describes the dynamics of the dominant (slow) modes of the PDE system. Af...
Abstract The data analysis task of determining a model for an ordinary differential equation (ODE) system from given noisy solution is addressed. Since modeling with ODE ubiquitous in science and technology, finding models paramount importance. Based on previously published parameter estimation method models, four related algorithms were developed. are tested over 20 different polynomial system...
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