166 - Differential Algebraic Equations

Abstract

This chapter discusses about differential algebraic equations, which are differential equations in the form. F() is nonlinear in the y′ term, or F() contains a collection of differential and algebraic equations. A special sub-case of differential algebraic equations is standard ordinary differential equations. A numerical approximation to the solution is obtained. Differential algebraic equations are more difficult to solve than standard ordinary differential equations. These equations are invariably solved exclusively by numerical means. One common numerical technique is to use the backward Euler method. Many special purpose codes have been written for these systems. There are a few analytic solution techniques for differential algebraic equations.