Object Oriented Implementation of Differential Algebraic Method with Arbitrary High Order
Wang Liping,Tang Tiantong,Cheng Binjie,Cai Jie
(Xi'an Jiaotong University, Xi'an  710049,  China)

Abstract:  Differential algebra provides a new and promising mathematical method based on the nonstandard analysis and power series theory.The underlying principle is studied for calculating the transfer properties of nonlinear systems. Using the object oriented programming technique and  Visual C++,a DA/TLC package was developed, and it could implemen differential algebra up to arbitrary high order. The package was tested and the  results agree well with the analytic solutions. The present work presents a straightforward and effective tool for computing arbitrary order derivatives with accuracy up to the precision of computers. It is of importance for studying nonlinear transfer properties up to arbitrary order.
Keywords: differential algebra;automatic differentiation;object oriented programming