Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay
DOI10.4208/aamm.OA-2020-0387zbMath1499.65446OpenAlexW3215027747MaRDI QIDQ5032340
No author found.
Publication date: 16 February 2022
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.oa-2020-0387
stability and convergenceimplicit alternating direction methodsemilinear Riesz space fractional diffusion equations with time delay
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients
- On convergence of difference schemes for delay parabolic equations
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Modeling and numerical analysis of fractional-order Bloch equations
- Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
- Fractional Bloch equation with delay
- Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Stability of \(\theta \)-schemes in the numerical solution of a partial differential equation with piecewise continuous arguments
- Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
- Uniqueness in determining multiple polygonal scatterers of mixed type
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- An algorithm for the numerical solution of differential equations of fractional order
- Numerical solution of fractional order differential equations by extrapolation
- A new fractional finite volume method for solving the fractional diffusion equation
- Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays
- A predictor-corrector approach for the numerical solution of fractional differential equations
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- Decoupling elastic waves and its applications
- Solving fractional delay differential equations: a new approach
- Design optimization of interconnected porous structures using extended triply periodic minimal surfaces
- On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems
- Determining a fractional Helmholtz equation with unknown source and scattering potential
- Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains
- Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
- Recovering a polyhedral obstacle by a few backscattering measurements
- Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients
- Two Single-Shot Methods for Locating Multiple Electromagnetic Scatterers
- Locating Multiple Multiscale Electromagnetic Scatterers by a Single Far-Field Measurement
- High-order algorithm for the two-dimension Riesz space-fractional diffusion equation
- Linear approximation of transfer function with a pole of fractional power
- On recovering polyhedral scatterers with acoustic far-field measurements
- On unique determination of partially coated polyhedral scatterers with far field measurements
- A global uniqueness for formally determined inverse electromagnetic obstacle scattering
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
- Linearized Crank–Nicolson method for solving the nonlinear fractional diffusion equation with multi-delay
- A Numerical Framework to Simplify CAD Models for Reliable Estimates of Physical Quantities
- A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation
- A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations
- A Weak Galerkin Finite Element Method for the Navier-Stokes Equations
- Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering
- Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering
- A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
This page was built for publication: Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay