Exact solution to a multidimensional wave equation with delay
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Publication:2244190
DOI10.1016/j.amc.2021.126421zbMath1497.35489OpenAlexW3166284746MaRDI QIDQ2244190
Publication date: 11 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126421
separation of variablesexact series solutionsecond-order delay differential equationdelay wave equation
Partial functional-differential equations (35R10) Series solutions to PDEs (35C10) Solutions to PDEs in closed form (35C05)
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Accuracy of the Laplace transform method for linear neutral delay differential equations ⋮ Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform ⋮ Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance ⋮ A note on the mean-square solution of the hypergeometric differential equation with uncertainties ⋮ 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
Cites Work
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- Representation of a solution of the Cauchy problem for an oscillating system with pure delay
- Solution of a heat equation with delay
- Exact and analytic-numerical solutions of bidimensional lagging models of heat conduction
- Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay
- 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
- Boundary value problems for the diffusion equation with piecewise continuous time delay
- Mixed problems for the time-dependent telegraph equation: Continuous numerical solutions with a priori error bounds
- On the Cauchy problem for a linear harmonic oscillator with pure delay
- Analytic solution of mixed problems for the generalized diffusion equation with delay
- Accurate continuous numerical solutions of time dependent mixed partial differential problems
- Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium
- Exact solutions and numerical approximations of mixed problems for the wave equation with delay
- Exact and nonstandard numerical schemes for linear delay differential models
- Analytic-numerical approximating processes of diffusion equation with data uncertainty
- Well posedness and exponential stability in a wave equation with a strong damping and a strong delay
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense
- Nonstandard finite difference schemes for general linear delay differential systems
- Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function
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