Quantization-based integration methods for delay-differential equations

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quantization-based integration methods for delay-differential equations

This paper introduces a new class of numerical delay differential equation solvers based on state quantization instead of time slicing. The numerical properties of these algorithms, i.e., stability and convergence, are discussed, and a number of benchmark problems are being simulated and compared with the state-of-the-art solutions to these problems as they have been previously reported in the ...

متن کامل

Linearly implicit quantization-based integration methods for stiff ordinary differential equations

In this paper, new integration methods for stiff ordinary differential equations (ODEs) are developed. Following the idea of quantization–based integration (QBI), i.e., replacing the time discretization by state quantization, the proposed algorithms generalize the idea of linearly implicit algorithms. Also, the implementation of the new algorithms in a DEVS simulation tool is discussed. The eff...

متن کامل

Computational Method for Fractional-Order Stochastic Delay Differential Equations

Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...

متن کامل

Local Linearization Method for Numerical Integration of Delay Differential Equations

In this paper, a new approach for the numerical computation of Delay Differential Equations (DDEs) is introduced. The essential idea consists on obtaining numerical integrators that use a code expressly developed for linear DDEs, in contrast with the conventional approach of using a code for ordinary differential equations. Specifically, two numerical schemes of such new class of integrators ar...

متن کامل

Numerical Integration Method for Singularly Perturbed Delay Differential Equations

In this paper, we present a numerical integration method to solve singularly perturbed delay differential equations. In this method, we first convert the second order singularly perturbed delay differential equation to first order neutral type delay differential equation and employ the numerical integration. Then, linear interpolation is used to get three term recurrence relation which is solve...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Simulation Modelling Practice and Theory

سال: 2011

ISSN: 1569-190X

DOI: 10.1016/j.simpat.2010.07.003