tepsize co 01 for d ay differential equations using continuously imbedded ge - Kutta methods of Sarafyan *

نویسنده

  • S. THOMPSON
چکیده

The use of continuously imbedded Runge-Kutta-Sarafyan methods for the solution of ordinary differential equations with either time-dependent or state-dependent delays is discc. It is shown how to get reliable solutions for such problems in a manner that does not require that the effect of the local approximation error be considered separately from the IocaI integration error. It is aIso shown how to reliably handle derivative discontinuities that arise in the solution of differentiaI equations with delays. Kkywordr: Delay differential equations, one-step methods, stepsize control, numerical solution, interpolation for Runge-Kutta methods.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

DKLAG6: a code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations

This paper discusses a new family of sixth-order continuously imbedded Runge-Kutta-Sarafyan methods and a mathematical software package DKLAG6 for the numerical solution of systems of functional differential equations with state-dependent delays. The methods used are based on piecewise polynomial approximants which are used for error estimation and stepsize selection, to handle the necessary in...

متن کامل

DKLAG6: A Code Based on Continuously Imbedded Sixth Order Runge{Kutta Methods for the Solution of State Dependent Functional Di erential Equations

This paper discusses a new family of sixth{order continuously imbedded Runge{Kutta{ Sarafyan methods and a mathematical software package DKLAG6 for the numerical solution of systems of functional di erential equations with state dependent delays. The methods used are based on piecewise polynomial approximants which are used for error estimation and stepsize selection, to handle the necessary in...

متن کامل

Solution of Systems of Functional Di erential Equations With State Dependent Delays

This report discusses a mathematical software package DKLAG5 which consists of a suite of FORTRAN subroutines for the numerical solution of systems of functional di erential equations with state dependent delays. The package implements continuously imbedded Runge{ Kutta methods which are based on C polynomial interpolants. These interpolants are exploited by the software to handle the necessary...

متن کامل

Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions

This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...

متن کامل

Inclined Lorentzian force effect on tangent hyperbolic radiative slip flow imbedded carbon nanotubes: lie group analysis

The present paper focuses on numerical study for an inclined magneto-hydrodynamic effect on free convection flow of a tangent hyperbolic nanofluid embedded with Carbon nanotubes (CNTs) over a stretching surface taking velocity and thermal slip into account. Two types of nanoparticles are considered for the study; they are single and multi-walled nanotubes. The presentation of single-parameter g...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001