Exact solution to a multidimensional wave equation with delay

Marc Jornet

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: This paper deals with a mixed problem for the wave equation with discrete delay τ>0,utt(t,x)=a12Δxu(t,x)+a22Δxu(t−τ,x)+b1u(t,x)+b2u(t−τ,x),t>τ,0≤x≤l,with Dirichlet boundary conditions. The exact infinite series solution is constructed by the method of separation of variables, where the time-dependent functions of the decomposition satisfy second-order delay differential equations. Our approach is based on and extends the work by Rodríguez, Roales and Martín (Applied Mathematics and Computation, 2012).

Keywords: Delay wave equation; Exact series solution; Separation of variables; Second-order delay differential equation (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321005105
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005105

DOI: 10.1016/j.amc.2021.126421

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().