A Unified Numerical Method for Solving System of Nonlinear Wave Equations
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Publication:5016402
DOI10.1007/978-3-030-69292-6_11zbMath1503.65192OpenAlexW3197273986MaRDI QIDQ5016402
Publication date: 13 December 2021
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-69292-6_11
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) Second-order hyperbolic systems (35L51)
Uses Software
Cites Work
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- High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
- On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system
- Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator
- On multipoint nonlocal boundary value problems for hyperbolic differential and difference equations
- Numerical solution of the sine-Gordon equation
- A note on the difference schemes for hyperbolic equations
- FDM for the integral-differential equation of the hyperbolic type
- On the numerical solutions of high order stable difference schemes for the hyperbolic multipoint nonlocal boundary value problems
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- On third order stable difference scheme for hyperbolic multipoint nonlocal boundary value problem
- On well-posedness of the nonlocal boundary value problem for parabolic difference equations
- New difference schemes for partial differential equations.
- An energy method for rough partial differential equations
- On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
- Numerical solution for series sine-Gordon equations using variational method and finite element approximation
- High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions
- A numerical method for the one-dimensional sine-Gordon equation
- On Fourth-Order Stable Difference Scheme for Hyperbolic Multipoint NBVP
- On the problem of determining the parameter of an elliptic equation in a Banach space
- On Gronwall’s type integral inequalities with singular kernels
- Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system
- Coupled sine-Gordon equations as nonlinear second order evolution equations