摘要
中立型多延迟微分方程广泛应用于生态学、化学等领域,其理论和数值方法的散逸性研究一直是十分重要的课题。本文研究了中立型多延迟微分方程θ-方法的散逸性,给出了θ-方法的数值散逸性结果,此结果表明所考虑的数值方法继承了方程本身的散逸性。
Neutral multi-delay differential equations arise widely in the fields of biology,chemistry and so on.It is meaningful to investigate the theory and application of numerical methods for neutral multi-delay differential equations.This paper concerns with the fugacity of θ-methods for neutral multi-delay differential equations.The fugacity result is given for θ-methods.The result shows that the numerical methods inherit the fugacity of the equations.
出处
《安庆师范学院学报(自然科学版)》
2010年第4期7-11,共5页
Journal of Anqing Teachers College(Natural Science Edition)
基金
淮南师范学院青年教师科研资助项目(2010QNL04)
关键词
中立型多延迟微分方程
Θ-方法
散逸性
Neutral multi-delay differential equations
θ-methods
fugacity