On spectral polar fractional Laplacian

DOI10.1016/j.matcom.2022.12.008OpenAlexW4313367736MaRDI QIDQ6102662

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Publication date: 23 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.12.008

zbMATH Keywords

integral transformBessel functionsbackward Euler methodfractional derivativematrix transfer techniqueSturm-Liouville theoryPutzer's algorithmpolar fractional Laplacian

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

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Cites Work

• Unnamed Item
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• Fractional Sturm-Liouville problem
• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• Variational methods for the fractional Sturm-Liouville problem
• New numerical methods for the Riesz space fractional partial differential equations
• The fractional Sturm-Liouville problem -- numerical approximation and application in fractional diffusion
• Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
• Finite fractional Sturm-Liouville transforms for generalized fractional derivatives
• Global Padé approximations of the generalized Mittag-Leffler function and its inverse
• Some inverse fractional Legendre transforms of gamma function form
• The theory of differential equations. Classical and qualitative
• A fractional integral operator corresponding to negative powers of a certain second-order differential operator
• On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation
• Mellin integral transform approach to analyze the multidimensional diffusion-wave equations
• On fractional powers of the Bessel operator on semiaxis
• Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
• Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations
• An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
• Numerical approximation of 2D multi-term time and space fractional Bloch-Torrey equations involving the fractional Laplacian
• Time-fractional telegraph equation of distributed order in higher dimensions
• Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian
• A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian
• A mesh-free pseudospectral approach to estimating the fractional Laplacian via radial basis functions
• On reflecting boundary conditions for space-fractional equations on a finite interval: proof of the matrix transfer technique
• Numerical approximation to Prabhakar fractional Sturm-Liouville problem
• Convergence of the matrix transformation method for the finite difference approximation of fractional order diffusion problems.
• Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations
• Multi-dimensional \(\alpha\)-fractional diffusion-wave equation and some properties of its fundamental solution
• Distributed order calculus and equations of ultraslow diffusion
• Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration
• GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion
• Time-fractional Diffusion of Distributed Order
• Multi-dimensional fractional wave equation and some properties of its fundamental solution
• The Two Forms of Fractional Relaxation of Distributed Order
• Time distributed-order diffusion-wave equation. I. Volterra-type equation
• Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
• Fractional Powers of a Class of Ordinary Differentilal Operators
• Mittag-Leffler Functions, Related Topics and Applications
• A Unified Meshfree Pseudospectral Method for Solving Both Classical and Fractional PDEs
• Fractional Sturm–Liouville problems for Weber fractional derivatives
• On the fractional Bessel operator
• DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION