A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian
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Publication:6585345
DOI10.1016/j.camwa.2024.06.001MaRDI QIDQ6585345
Publication date: 9 August 2024
Published in: Computers & Mathematics with Applications (Search for Journal in Brave)
hypergeometric functionsanomalous diffusionspectral methodsfractional Laplaciansemi-discrete Fourier transformfractional Poisson equations
Cites Work
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- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- Numerical methods for the computation of the confluent and Gauss hypergeometric functions
- Ten equivalent definitions of the fractional Laplace operator
- A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
- A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian
- Numerical approximation of the integral fractional Laplacian
- Laguerre functions and their applications to tempered fractional differential equations on infinite intervals
- A comparative study on nonlocal diffusion operators related to the fractional Laplacian
- Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
- Fractional Schrödinger dynamics and decoherence
- Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
- Fractional centered difference scheme for high-dimensional integral fractional Laplacian
- Highly accurate operator factorization methods for the integral fractional Laplacian and its generalization
- Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver
- Numerical approximations for the tempered fractional Laplacian: error analysis and applications
- Fractional calculus for power functions and eigenvalues of the fractional Laplacian
- Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
- A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations
- Numerical Integration of Highly Oscillating Functions
- Spectral Methods in MATLAB
- Computing Hypergeometric Functions Rigorously
- A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs
- Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk
- A Simple Solver for the Fractional Laplacian in Multiple Dimensions
- Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
- Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
- Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
- Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
- Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
- Anomalous diffusion and transport in heterogeneous systems separated by a membrane
- Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well
- Moment-free numerical integration of highly oscillatory functions
- Pattern selection in the Schnakenberg equations: From normal to anomalous diffusion
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