Galerkin Approximations for Neutral Delay Differential Equations

Vyasarayani, C P (2012) Galerkin Approximations for Neutral Delay Differential Equations. Journal of Computational and Nonlinear Dynamics, 8 (2). 021014-1. ISSN 1555-1415

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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.

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IITH Creators:	IITH Creators ORCiD Vyasarayani, Chandrika Prakash http://orcid.org/0000-0002-3396-0484
Item Type:	Article
Additional Information:	I thank the anonymous reviewers for their insightful suggestions on an earlier version of this manuscript.
Uncontrolled Keywords:	Galerkin
Subjects:	Physics > Mechanical and aerospace
Divisions:	Department of Mechanical & Aerospace Engineering
Depositing User:	Users 3 not found.
Date Deposited:	22 Sep 2014 10:24
Last Modified:	04 Mar 2022 05:36
URI:	http://raiithold.iith.ac.in/id/eprint/42
Publisher URL:	https://doi.org/10.1115/1.4007446
OA policy:	http://www.sherpa.ac.uk/romeo/issn/1555-1415/
Related URLs:	Google Scholar

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