Numerical study of high order nonlinear dispersive PDEs using different RBF approaches
type: Item
instance of: scholarly article
title: Numerical study of high order nonlinear dispersive PDEs using different RBF approaches
zbMATH Open document ID: 1504.35447
author: Hameed Ullah Jan
author: Marjan Uddin
author: Thabet Abdeljawad
author: Muhammad Zamir
published in: Applied Numerical Mathematics
publication date: 2022-10-18T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 7603724
zbMATH Keywords: Degasperis-Procesi equation
zbMATH Keywords: Camassa-Holm equation
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: RBFs methods
zbMATH Keywords: RBF-FD method
zbMATH Keywords: RBF-PS method
describes a project that uses: GaussQR
describes a project that uses: Mfree2D
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.apnum.2022.08.007
OpenAlex ID: W4292239902
Wikidata QID: Q114207993
cites work: Numerical simulation of Camassa-Holm peakons by adaptive upwinding.
cites work: Meshless methods: An overview and recent developments
cites work: Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
cites work: Near-corner waves of the Camassa-Holm equation
cites work: Q4550961
cites work: Radial Basis Functions
cites work: An integrable shallow water equation with peaked solitons
cites work: Q4311808
cites work: Cartesian grid methods using radial basis functions for solving Poisson, Helmholtz, and diffusion--convection equations
cites work: Q4781993
cites work: Recent advances on radial basis function collocation methods
cites work: On the well-posedness of the Degasperis-Procesi equation
cites work: On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation
cites work: Inverse scattering transform for the Camassa–Holm equation
cites work: Poisson structure and action-angle variables for the Camassa-Holm equation
cites work: The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
cites work: Stability of peakons
cites work: Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
cites work: Existence, uniqueness and stability for a class of third-order dissipative problems depending on time
cites work: Adaptive meshless centres and RBF stencils for Poisson equation
cites work: Q4508328
cites work: Q1738885
cites work: Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization
cites work: Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods
cites work: Global weak solutions and blow-up structure for the Degasperis-Procesi equation
cites work: Q3635987
cites work: Kernel-based Approximation Methods using MATLAB
cites work: Solving differential equations with radial basis functions: Multilevel methods and smoothing
cites work: Q3446085
cites work: Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method
cites work: The Runge phenomenon and spatially variable shape parameters in RBF interpolation
cites work: Modified Camassa-Holm and Degasperis-Procesi equations solved by Adomian's decomposition method and comparison with HPM and exact solutions
cites work: Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
cites work: Camassa–Holm, Korteweg–de Vries and related models for water waves
cites work: Local multiquadric approximation for solving boundary value problems
cites work: Stability of peakons for the Degasperis-Procesi equation
cites work: NEW BOUNDED TRAVELING WAVES OF CAMASSA–HOLM EQUATION
cites work: A note on solitary waves for modified forms of Camassa-Holm and Degasperis-Procesi equations
cites work: Formation and dynamics of shock waves in the Degasperis-Procesi equation
cites work: Miscellaneous error bounds for multiquadric and related interpolators
cites work: Multivariate Interpolation and Conditionally Positive Definite Functions. II
cites work: Q3223304
cites work: Q3723033
cites work: Conservative finite difference schemes for the Degasperis-Procesi equation
cites work: On the Cauchy problem for a generalized Camassa-Holm equation
cites work: Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
cites work: Q4321677
cites work: A factorization procedure for solving the Camassa–Holm equation

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cites work: A local radial basis functions -- finite difference technique for the analysis of composite plates

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cites work: Local radial basis function based gridfree scheme for unsteady incompressible viscous flows

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cites work: From Global to Local Radial Basis Function Collocation Method for Transport Phenomena

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cites work: Meshfree explicit local radial basis function collocation method for diffusion problems

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cites work: A numerical study of the accuracy and stability of symmetric and asymmetric RBF collocation methods for hyperbolic PDEs

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cites work: A high order method for numerical solution of time-fractional KdV equation by radial basis functions

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cites work: The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems

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cites work: Spectral Methods in MATLAB

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cites work: RBF-PS scheme for solving the equal width equation

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cites work: On the numerical solution of Bagley-Torvik equation via the Laplace transform

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cites work: Soliton Kernels for Solving PDEs

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cites work: A point interpolation meshless method based on radial basis functions

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cites work: New cubic B-spline approximation for solving third order Emden-Flower type equations

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cites work: A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions

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cites work: Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation

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cites work: Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions

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cites work: Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations

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cites work: Global existence for a new periodic integrable equation.

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cites work: Global weak solutions for a new periodic integrable equation with peakon solutions

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cites work: Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations

Numerical study of high order nonlinear dispersive PDEs using different RBF approaches (DOI)
DOI: 10.1016/J.APNUM.2022.08.007