Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods (Q6196232)

scientific article; zbMATH DE number 7818683

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English	Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods	scientific article; zbMATH DE number 7818683

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instance of

scholarly article

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title

Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods (English)

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Journal of Scientific Computing

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publication date

14 March 2024

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full work available at URL

https://arxiv.org/abs/2402.02284

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zbMATH Keywords

variable-order fractional Laplacian

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Feller process

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meshfree methods

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radial basis functions

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hypergeometric functions

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heterogeneous media

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MaRDI profile type

MaRDI publication profile

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cites work

A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations

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Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

0 references

Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers

0 references

Tempered stable Lévy motion and transient super-diffusion

0 references

Uniqueness in law for pure jump Markov processes

0 references

Numerical approximation of the integral fractional Laplacian

0 references

A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs

0 references

Heat kernel for non-local operators with variable order

0 references

Variable Lebesgue spaces. Foundations and harmonic analysis

0 references

A fractional model for anomalous diffusion with increased variability: Analysis, algorithms and applications to interface problems

0 references

Lebesgue and Sobolev spaces with variable exponents

0 references

Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations

0 references

A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem

0 references

Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well

0 references

Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation

0 references

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

0 references

A fractional phase-field model using an infinitesimal generator of \(\alpha\) stable Lévy process

0 references

Numerical approximations for the tempered fractional Laplacian: error analysis and applications

0 references

Finite difference/collocation method to solve multi term variable‐order fractional reaction–advection–diffusion equation in heterogeneous medium

0 references

Fractional Hardy inequality with a remainder term

0 references

Fractional calculus for power functions and eigenvalues of the fractional Laplacian

0 references

Fractional Laplace operator and Meijer G-function

0 references

Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices

0 references

Observations on the behavior of radial basis function approximations near boundaries

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A new class of oscillatory radial basis functions

0 references

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

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Q3084090

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Fractional centered difference scheme for high-dimensional integral fractional Laplacian

0 references

Pseudo‐differential operators

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

0 references

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

0 references

On Markov process generated by pseudodifferential operator of variable order

0 references

Fractional Schrödinger dynamics and decoherence

0 references

An algebra of pseudo‐differential operators

0 references

Lévy matters VI. Lévy-type processes: moments, construction and heat kernel estimates

0 references

Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

0 references

Anomalous diffusion and transport in heterogeneous systems separated by a membrane

0 references

Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration

0 references

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

0 references

Variable order and distributed order fractional operators

0 references

Coupling by reflection and Hölder regularity for non-local operators of variable order

0 references

Finite difference approximations for two-sided space-fractional partial differential equations

0 references

Space-fractional advection-dispersion equations by the Kansa method

0 references

A radial basis functions method for fractional diffusion equations

0 references

Q3999270

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Fractional integrals and derivatives: mapping properties

0 references

A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions

0 references

Fractional integration and differentiation of variable order: an overview

0 references

Q3141895

0 references

Integration and differentiation to a variable fractional order

0 references

A fractional phase-field model for two-phase flows with tunable sharpness: algorithms and simulations

0 references

A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

0 references

Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains

0 references

Lévy measure with generalized polar decomposition and the associated sde with jumps

0 references

Multiplicity results for variable-order fractional Laplacian equations with variable growth

0 references

Second-order approximations for variable order fractional derivatives: algorithms and applications

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Identifiers

arXiv ID

2402.02284

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Mathematics Subject Classification ID

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10.1007/S10915-024-02472-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6196232