摘要
相对于一般的数值方法,块方法由于其简化计算步骤和稳定性好的特点在数值计算中具有明显的优势。文章针对新q -方法给出了新块q -方法,并对具有比例延迟的中立型方程进行数值处理,通过考察方程及其扰动方程的数值解,得出了新块q -方法GP-稳定的充分条件。
The block methods are superior to the generally numerical methods because of its preferable process of computation and stability. Based on the new q -methods, the new block q -methods are given and applied to the neutral differential equations with pantograph delays. By studying the numerical solutions of difference equations and its petured equations, the sufficient conditions of GP-stability of the new block q -methods are established.
出处
《系统仿真学报》
CAS
CSCD
2003年第6期807-809,822,共4页
Journal of System Simulation
基金
国家自然科学基金(10271036)
关键词
中立型方程
比例延迟
新块θ-方法
数值解
GP-稳定
neutral equation
pantograph delay
the new block q -methods
numerical solutions
GP-stability
