Fractional Hermite interpolation using RBFs in high dimensions over irregular domains with application

DOI10.1016/j.jcp.2018.09.013zbMath1416.65049OpenAlexW2890475427WikidataQ129252675 ScholiaQ129252675MaRDI QIDQ2002315

O. Chatrabgoun, M. Cheraghi, Mohsen Esmaeilbeigi

Publication date: 11 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.09.013

zbMATH Keywords

fractional derivativesradial basis functionHermite interpolationirregular domainshigh-dimensional approximation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Fractional partial differential equations (35R11)

Related Items (2)

Fractional Hermite interpolation for non-smooth functions ⋮ The role of Hilbert-Schmidt SVD basis in Hermite-Birkhoff interpolation in fractional sense

Uses Software

• Matlab
• GaussQR
• rbf_qr

Cites Work

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• A new fully discrete finite difference/element approximation for fractional cable equation
• Second-order approximations for variable order fractional derivatives: algorithms and applications
• Fractional modelling arising in unidirectional propagation of long waves in dispersive media
• Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
• An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate
• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• An alternative procedure for selecting a good value for the parameter \(c\) in RBF-interpolation
• Bases for kernel-based spaces
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• A new operational matrix for solving fractional-order differential equations
• Fractional differential equations in electrochemistry
• Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold
• Scattered Hermite interpolation using radial basis functions
• Multivariate Hermite interpolation by algebraic polynomials: A survey
• Optimal selection of local approximants in RBF-PU interpolation
• \textsc{OpenCL} based parallel algorithm for RBF-PUM interpolation
• A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations
• The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses
• Waiting-times and returns in high-frequency financial data: An empirical study
• Generalized Hermite interpolation and positive definite kernels on a Riemannian manifold
• A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method
• A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems
• An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels
• Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
• Solution of fractional partial differential equations in fluid mechanics by extension of some iterative method
• Partition of unity interpolation using stable kernel-based techniques
• Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds
• Reconstruction of a function from Hermite-Birkhoff data
• Fractional spectral and pseudo-spectral methods in unbounded domains: theory and applications
• Synchronization between a fractional-order system and an integer order system
• A radial basis functions method for fractional diffusion equations
• On the new variable shape parameter strategies for radial basis functions
• Stable Evaluation of Gaussian Radial Basis Function Interpolants
• Stable Computations with Gaussian Radial Basis Functions
• Radial Basis Functions
• Exact solutions of some fractional differential equations arising in mathematical biology
• Scattered Data Approximation

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