Numerical Methods For Differential Algebraic Equations Lag Time

Delay differential-algebraic equations (DDAEs), which have both delay andalgebraic constraints,arise in a wide variety of scientific and engineering applications,including circuit analysis,computer-aided design and real-time simulation ofmechanical (multibody) systems,chemical process simulation and optimal control.The numerical solution of differential-algebraic equations (DAEs) has been thesubject of intense research activity in the past few years. Over the last decade, theresearch work about the Delay differential-algebraic equations (DDAEs) numericalmethods have a more in-depth research. However, only a small amount of a generalalgorithm for solving Delay Differential Algebraic Equations.In this paper, we first discusses a class of Hessenberg structure with the Delaydifferential-algebraic equations, by use of the Drazin inverse of a matrix, then thetheoretical solution is given expression, and the expression of the correspondingDifference Equations, and the use of four classical Runge-Kutta methodthe initialestablishment of a general algorithm for calculating the numerical solution. Theresult is a literature indicators for the promotion of an algorithm conclusions fromthis article to Numerical experiments show that the accuracy of the algorithm withthe corresponding implicit method is the same, and the calculation method isrelatively simple.In the same time, we also consider the situation on the sub-time intervalsegment polynomial method and Pade approximation method for the initialestablishment of a sub-solving Hessenberg lag the general algorithm ofdifferential-algebraic equations. And reached the segmentation error of law.Andreached the segmentation error of law. Numerical test data for different methods, inaccordance with sub-case, were compared, the conclusion has some theoreticalsignificance and practical value.