Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

作者：Zhao, Jingjun; Xu, Yang^*; Li, Xindi; Fan, Yan

来源：Numerical Algorithms, 2015, 69(2): 321-336.

DOI：10.1007/s11075-014-9898-9

• Delay differential equations
• Boundary value methods
• Delay-dependent stability
• Boundary locus technique

This paper aims at the delay-dependent stability analysis of symmetric boundary value methods, which include the Extended Trapezoidal Rules of the first kind and the second kind, the Top Order Methods and the B-spline linear multistep methods, for second order delay differential equations with three parameters. Theoretical analysis and numerical results are presented to show that the symmetric boundary value methods preserve the asymptotic stability of the true solutions of the test equation.

• 出版日期2015-6
• 单位哈尔滨工业大学