Affiliation:
1. Department of Mechanical Engineering, Indian Institute of Technology Hyderabad, Ordnance Factory Estate, Andhra Pradesh 502205, India e-mail:
Abstract
In this work, Galerkin approximations are developed for a system of first order nonlinear neutral delay differential equations (NDDEs). The NDDEs are converted into an equivalent system of hyperbolic partial differential equations (PDEs) along with the nonlinear boundary constraints. Lagrange multipliers are introduced to enforce the boundary constraints. The explicit expressions for the Lagrange multipliers are derived by exploiting the equivalence of partial derivatives in space and time at a given point on the domain. To illustrate the method, comparisons are made between numerical solution of NDDEs and its Galerkin approximations for different NDDEs.
Subject
Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering
Reference20 articles.
1. Numerical Modelling in Biosciences Using Delay Differential Equations;J. Comput. Appl. Math.,2000
2. Time-Delay Systems: An Overview of Some Recent Advances and Open Problems;Automatica,2003
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献