A self-singularity-capturing scheme for fractional differential equations
From MaRDI portal
Publication:5031260
DOI10.1080/00207160.2020.1792453zbMath1480.65171arXiv1810.12219OpenAlexW3041692791MaRDI QIDQ5031260
Mohsen Zayernouri, Jorge L. Suzuki
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12219
correction termslong-time integrationautomated algorithmsmulti-fractal singularitiesrandom singularitiesshort-time data
Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Low-rank solvers for fractional differential equations
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- A divide-and-conquer fast finite difference method for space-time fractional partial differential equation
- Fractional calculus in viscoelasticity: an experimental study
- Construction of minimum energy high-order Helmholtz bases for structured elements
- Existence and uniqueness for a nonlinear fractional differential equation
- Non-reflecting boundary conditions for Maxwell's equations
- A stable fast time-stepping method for fractional integral and derivative operators
- A review of applications of fractional calculus in Earth system dynamics
- A fractional spectral method with applications to some singular problems
- Detailed error analysis for a fractional Adams method
- Time fractional diffusion: A discrete random walk approach
- Implicit-explicit time integration of nonlinear fractional differential equations
- A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver
- A unified spectral method for FPDEs with two-sided derivatives. II: Stability, and error analysis
- Fractional-order uniaxial visco-elasto-plastic models for structural analysis
- A Petrov-Galerkin spectral element method for fractional elliptic problems
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- Fractional sensitivity equation method: application to fractional model construction
- Fractional Adams-Bashforth/Moulton methods: an application to the fractional Keller-Segel chemotaxis system
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- A fully discrete difference scheme for a diffusion-wave system
- Pitfalls in fast numerical solvers for fractional differential equations
- A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations
- A Kernel Compression Scheme for Fractional Differential Equations
- Discretized Fractional Calculus
- A Fast Time Stepping Method for Evaluating Fractional Integrals
- On the Stability of Linear Multistep Methods for Volterra Convolution Equations
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Two-Point Step Size Gradient Methods
- Fast Convolution for Nonreflecting Boundary Conditions
- Fractional-order modelling and simulation of human ear
- Fractional pseudo-spectral methods for distributed-order fractional PDEs
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- A Petrov--Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Power-law rheology in the bulk and at the interface: quasi-properties and fractional constitutive equations
- Fast and Oblivious Convolution Quadrature
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
- Analysis of fractional differential equations
This page was built for publication: A self-singularity-capturing scheme for fractional differential equations