并行多值混合方法在一类2-指标微分代数方程中的应用

The Application of the Parallel Multistep Hybrid Method to the Numerical Solution for a Class of Index-2 Differential Algebraic Equations

将并行多值混合方法应用于一类2-指标微分代数方程的数值处理,并进行误差估计,获得了十分理想的结果.由于微分代数方程广泛应用于电网络分析、航空、航海、分工系统、动力、生态系统、化学动力学、最优控制、计算机辅助设计与建模以及社会学和经济学等各个领域,因此,研究微分代数方程的数值方法理论及应用具有现实意义和实用价值.

This paper is devoted to the application of the parallel multistep hybrid method to the numerical solution for a class of Index-2 differential algebraic equations, and the errors are estimated, it has obtained the extremely ideal result. The differential algebraic equations are extensively applied to the field of electrical network anylysis, aviation, navigation, division of labor systems, impetus, ecosystems, chemical dynamics, optimal control, computer-aided design and modelling, sociology, economics etc, so there are very important sense and important worthiness in practice to study the numerical method theory and application of the differential algebraic equations.