On spectral polar fractional Laplacian
From MaRDI portal
Publication:6102662
DOI10.1016/j.matcom.2022.12.008OpenAlexW4313367736MaRDI QIDQ6102662
No author found.
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
integral transformBessel functionsbackward Euler methodfractional derivativematrix transfer techniqueSturm-Liouville theoryPutzer's algorithmpolar fractional Laplacian
Related Items
Wiener-Hopf technique for a fractional mixed boundary value problem in cylindrical layer, An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability, Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation, Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative, Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
