Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain
DOI10.1007/s00211-020-01115-1zbMath1450.65124OpenAlexW3020327838MaRDI QIDQ777497
Publication date: 7 July 2020
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-020-01115-1
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for PDEs of mixed type (35M13)
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Cites Work
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- On the stability and convergence of the time-fractional variable order telegraph equation
- Splitting schemes for hyperbolic heat conduction equation
- Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes
- A new unconditionally stable method for telegraph equation based on associated Hermite orthogonal functions
- Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method
- Exact artifical boundary conditions for the Schrödinger equation in \(\mathbb R ^2\)
- A numerical method for the hyperbolic-heat conduction equation based on multiple scale technique
- An analysis of the finite-difference method for one-dimensional Klein-Gordon equation on unbounded domain
- A maximum principle for periodic solutions of the telegraph equation
- Bounded solutions of second order semilinear evolution equations and applications to the telegraph equation
- Exact and approximating boundary conditions for the parabolic problems on unbounded domains
- A maximum principle for bounded solutions of the telegraph equations and applications to nonlinear forcings
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- A class of artificial boundary conditions for heat equation in unbounded domains
- Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
- Absorbing boundary conditions for the multidimensional Klein-Gordon equation
- Numerical solutions of Schrödinger equations in ℝ3
- On Initial Boundary Value Problems for Weakly Semilinear Telegraph Equations. Asymptotic Theory and Application
- Absorbing boundary conditions for numerical simulation of waves
- The behavior of hyperbolic heat equations’ solutions near their parabolic limits
- Regularization Procedures of Singular Free Boundary Problems in Rotational Bingham Flows
- Absorbing boundary conditions for reaction-diffusion equations
- Design of Absorbing Boundary Conditions for Schrödinger Equations in $\mathbbR$d
- Fast Convolution for Nonreflecting Boundary Conditions
- Artificial Boundary Method
- Numerical simulation of reaction‐diffusion telegraph systems in unbounded domains
- Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator
- High-Order Local Artificial Boundary Conditions for the Fractional Diffusion Equation on One-Dimensional Unbounded Domain
- Damped wave equations and the heat equation
- Higher approximations in boundary-layer theory Part 3. Parabola in uniform stream
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