Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments
DOI10.1080/10236198.2021.2019248zbMath1492.65234OpenAlexW4200256092WikidataQ114099707 ScholiaQ114099707MaRDI QIDQ5037843
Publication date: 4 March 2022
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2021.2019248
convergenceasymptotic stabilityradial basis functionspiecewise constant argumentshyperbolic partial differential equationsmeshfree method
Asymptotic behavior of solutions to PDEs (35B40) 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 equations (35L10) Numerical radial basis function approximation (65D12)
Cites Work
- Unnamed Item
- An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere
- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Convergence and asymptotic stability of Galerkin methods for a partial differential equation with piecewise constant argument
- An adaptive meshfree spectral graph wavelet method for partial differential equations
- Retarded differential equations with piecewise constant delays
- Advanced differential equations with piecewise constant argument deviations
- Boundary value problems for partial differential equations with piecewise constant delay
- A wave equation with discontinuous time delay
- Radial basis function methods for the Rosenau equation and other higher order PDEs
- A local radial basis function method for pricing options under the regime switching model
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- A local radial basis function method for the Laplace-Beltrami operator
- An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems
- A meshfree approach for analysis and computational modeling of non-linear Schrödinger equation
- Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods
- Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
- Solving partial differential equations on (evolving) surfaces with radial basis functions
- Novel multilevel techniques for convergence acceleration in the solution of systems of equations arising from RBF-FD meshless discretizations
- Mittag-Leffler stability of fractional-order neural networks in the presence of generalized piecewise constant arguments
- Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems
- Asymptotic behaviour of a population model with piecewise constant argument
- Wavelet multilayer Taylor Galerkin schemes for hyperbolic and parabolic problems
- Novel meshless method for solving the potential problems with arbitrary domain
- Analytical and numerical stability of partial differential equations with piecewise constant arguments
- Stability analysis of parabolic partial differential equations with piecewise continuous arguments
- A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations
- A WAVELET-TAYLOR GALERKIN METHOD FOR PARABOLIC AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
- Kernel-Based Discretization for Solving Matrix-Valued PDEs
- Meshfree Methods: A Comprehensive Review of Applications
- A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients
- Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type
- An iterative meshfree method for the elliptic monge–ampère equation in 2D
- On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
- A numerical scheme for diffusion-convection equation with piecewise constant arguments
This page was built for publication: Convergence and stability of meshfree method based on radial basis function for a hyperbolic partial differential equation with piecewise constant arguments