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A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations - MaRDI portal

A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations (Q2662630)

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Please use this page instead for the normal view: A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations

scientific article

Language	Label	Description	Also known as
English	A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations	scientific article

Statements

scholarly article

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A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations (English)

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Applied Mathematics and Computation

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publication date

14 April 2021

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zbMATH Keywords

radial basis functions-finite difference method

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polyharmonic spline

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nonlinear partial differential equation

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Zakharov-Rubenchik equations

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.amc.2020.125787

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Numerical solutions of nonlinear evolution equations using variational iteration method

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Adiabatic limit of the Zakharov-Rubenchik equation

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Conservative compact difference scheme for the Zakharov–Rubenchik equations

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Numerical methods and simulations for the dynamics of one-dimensional Zakharov-Rubenchik equations

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Two numerical methods for the Zakharov-Rubenchik equations

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On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system

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Uniformly Accurate Oscillatory Integrators for the Klein--Gordon--Zakharov System from Low- to High-Plasma Frequency Regimes

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Galerkin finite element methods for the generalized Klein-Gordon-Zakharov equations

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A uniformly accurate multiscale time integrator spectral method for the Klein-Gordon-Zakharov system in the high-plasma-frequency limit regime

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Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains

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Numerical simulation for solitary wave of Klein-Gordon-Zakharov equation based on the lattice Boltzmann model

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Stability of the solitons for the one-dimensional Zakharov-Rubenchik equation

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STABILITY OF SOLITONS OF THE ZAKHAROV-RUBENCHIK EQUATION

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Well posedness for the 1D Zakharov-Rubenchik system

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Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system

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Supersonic limit for the Zakharov-Rubenchik system

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem

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Radial basis collocation methods for elliptic boundary value problems

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Improved Kansa RBF method for the solution of nonlinear boundary value problems

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An efficient meshless method based on RBFs for the time fractional diffusion-wave equation

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A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions

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The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains

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The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation

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The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics

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The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa's approach and Galerkin method

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The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions

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An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains

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A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs

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A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains

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A local radial basis function collocation method to solve the variable‐order time fractional diffusion equation in a two‐dimensional irregular domain

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A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method

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Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation

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Analysis on the upwind local radial basis functions method to solve convection dominated problems and it's application for MHD flow

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The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations

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A localized RBF-MLPG method for numerical study of heat and mass transfer equations in elliptic fins

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Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation

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On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy

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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs

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An insight into RBF-FD approximations augmented with polynomials

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Interpolation of scattered data: distance matrices and conditionally positive definite functions

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2020.125787

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Sitelinks

Mathematics(1 entry)

mardi Publication:2662630

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