A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions
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Publication:5266064
DOI10.1063/1.3601847zbMath1317.35305OpenAlexW1986300292MaRDI QIDQ5266064
G. Barid Loghmani, Zakieh Avazzadeh, Z. Beygi Rizi, F. M. Maalek Ghaini
Publication date: 29 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3601847
Pseudodifferential operators as generalizations of partial differential operators (35S05) Integro-partial differential equations (45K05) Finite difference methods for boundary value problems involving PDEs (65N06) Volterra integral equations (45D05) Integro-differential operators (47G20)
Related Items (2)
Numerical solution of fractional telegraph equation by using radial basis functions ⋮ Exponential convergence for numerical solution of integral equations using radial basis functions
Cites Work
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- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- On a nonlinear diffusion system arising in reactor dynamics
- Finite element methods for partial Volterra integro-differential equations on two-dimensional unbounded spatial domains
- Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- Efficient solution of a partial integro-differential equation in finance
- Symmetries of integro-differential equations. With applications in mechanics and plasma physics
- The method of lines for parabolic partial integro-differential equations
- Multiquadratic interpolation improved
- Solution of a nonlinear integrodifferential system arising in nuclear reactor dynamics
- A finite difference method for analyzing the compression of poro- viscoelastic media
- Error estimates for interpolation by compactly supported radial basis functions of minimal degree
- Local accuracy for radial basis function interpolation on finite uniform grids
- The uniform convergence of thin plate spline interpolation in two dimensions
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
- Approximation by radial basis functions with finitely many centers
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- Numerical methods for integrodifferential equations of parabolic and hyperbolic types
- Solution of partial differential equations by a global radial basis function-based differential quadrature method
- Error estimates for matrix-valued radial basis function interpolation
- Multivariate cardinal interpolation with radial-basis functions
- A class of hyperbolic volterra integrodifferential equations
- Analyses of Spline Collocation Methods for Parabolic and Hyperbolic Problems in Two Space Variables
- Finite element methods for parabolic and hyperbolic partial integro-differential equations
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Local error estimates for radial basis function interpolation of scattered data
- Bifurcation analysis on a nonlinear diffusion system in reactor dynamics
- Improved error bounds for scattered data interpolation by radial basis functions
- Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
- Radial Basis Functions
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- An inverse hyperbolic integrodifferential problem arising in geophysics II
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