Exact solution to a multidimensional wave equation with delay

作者:

Highlights:

• I deal with a mixed problem for the multidimensional wave equation with delay.

• The exact series solution is constructed by the method of separation of variables.

• The time-dependent functions of the decomposition satisfy second-order delay differential equations.

• Explicit, closed-form solutions are sought.

• The literature on closed-form solutions for delay wave models is improved

摘要

•I deal with a mixed problem for the multidimensional wave equation with delay.•The exact series solution is constructed by the method of separation of variables.•The time-dependent functions of the decomposition satisfy second-order delay differential equations.•Explicit, closed-form solutions are sought.•The literature on closed-form solutions for delay wave models is improved

论文关键词:Delay wave equation,Exact series solution,Separation of variables,Second-order delay differential equation

论文评审过程:Received 13 January 2021, Revised 15 March 2021, Accepted 30 May 2021, Available online 15 June 2021, Version of Record 15 June 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126421