Exact solutions and numerical approximations of mixed problems for the wave equation with delay

DOI10.1016/j.amc.2012.09.050zbMath1309.35045OpenAlexW1984113283MaRDI QIDQ2019004

Francisco Rodríguez Mateos, M. Roales, José Antonio Martín

Publication date: 26 March 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.050

zbMATH Keywords

series solutionseparation of variablesa priori error boundssecond order delay differential equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Solutions to PDEs in closed form (35C05)

Related Items (6)

A second-order numerical scheme for the time-fractional partial differential equations with a time delay ⋮ Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations ⋮ Exact numerical solutions and high order nonstandard difference schemes for a second order delay differential equation ⋮ Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays ⋮ Exact solution to a multidimensional wave equation with delay ⋮ On the random wave equation within the mean square context

Cites Work

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• Active control of a smart beam with time delay by Legendre wavelets
• Integral average method for oscillation of second order partial differential equations with delays
• Exponential stability of linear distributed parameter systems with time-varying delays
• Analytic-numerical solutions of diffusion mathematical models with delays
• A wave equation with discontinuous time delay
• The oscillation of hyperbolic functional differential equations
• Analytic numerical approximation with a priori error bound for the wave equation with time dependent coefficient
• Analytic solution of mixed problems for the generalized diffusion equation with delay
• Theory and applications of partial functional differential equations
• Accurate continuous numerical solutions of time dependent mixed partial differential problems
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Applications of analysis on nilpotent groups to partial differential equations
• Asymptotic behavior of solutions of differential-difference equations.

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