Stability analysis of block boundary value methods for the neutral differential equation with many delays
2014
Abstract This paper mainly deals with the asymptotic stability properties of block boundary value methods (B 2 VMs) for the neutral differential equation with many delays. For the time lagging arguments, a technique of Lagrange interpolation is considered. Under some certain conditions, it is proved that B 2 VMs can preserve the asymptotic stability of exact solutions for the neutral differential equation with many delays if and only if B 2 VMs are A-stable for ordinary differential equation. Moreover, some numerical experiments are given to confirm the main conclusion.
Keywords:
- Exact differential equation
- First-order partial differential equation
- Mathematical analysis
- Mathematical optimization
- Universal differential equation
- Mathematics
- Differential equation
- Separable partial differential equation
- Riccati equation
- Boundary value problem
- Delay differential equation
- Ordinary differential equation
- Homogeneous differential equation
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