Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations
DOI10.3934/dcdsb.2021086zbMath1481.65153OpenAlexW3136695416MaRDI QIDQ2069754
Publication date: 21 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021086
convergencedifference schemefast algorithmdiffusion-wave equationsfractional mixed diffusionsum-of-exponential
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) Numerical methods for discrete and fast Fourier transforms (65T50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations
- A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel
- Flow of a viscoelastic fluid with the fractional Maxwell model between two side walls perpendicular to a plate
- Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
- Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate
- An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations
- A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients
- Efficient high order algorithms for fractional integrals and fractional differential equations
- An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
- Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain
- Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
- The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
- Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid
- A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- On using random walks to solve the space-fractional advection-dispersion equations
- Fractional diffusion and wave equations
- A Fast Time Stepping Method for Evaluating Fractional Integrals
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures
- A new dissipation model based on memory mechanism
- Adaptive, Fast, and Oblivious Convolution in Evolution Equations with Memory
- Exponential Sum Approximations for t−β
- A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- On Direct Methods for Solving Poisson’s Equations
- Fast approximate inversion of a block triangular Toeplitz matrix with applications to fractional sub‐diffusion equations
This page was built for publication: Two finite difference methods based on an H2N2 interpolation for two-dimensional time fractional mixed diffusion and diffusion-wave equations
