Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media
From MaRDI portal
Publication:2079344
DOI10.1016/j.matcom.2022.07.001OpenAlexW4288057858MaRDI QIDQ2079344
Fawang Liu, Hong Li, Yuxuan Niu, Yang Liu
Publication date: 29 September 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.07.001
compact difference schemeFBN-\(\theta\) methodfast TT-M algorithmnonlinear distributed-order fractional Sobolev equation
Related Items
The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation, Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order, A novel distributed order time fractional model for heat conduction, anomalous diffusion, and viscoelastic flow problems, Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model, Two-grid finite difference method for 1D fourth-order Sobolev-type equation with Burgers' type nonlinearity, Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation, A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model, Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation, Time difference physics-informed neural network for fractional water wave models, A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation
Cites Work
- Unnamed Item
- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions
- Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions
- Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
- Numerical analysis for distributed-order differential equations
- Compact finite difference schemes with spectral-like resolution
- A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation
- Numerical approach for a class of distributed order time fractional partial differential equations
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
- A novel finite volume method for the Riesz space distributed-order diffusion equation
- New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
- The unified theory of shifted convolution quadrature for fractional calculus
- An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile-immobile equation
- Efficient and accurate numerical methods for the multidimensional convection-diffusion equations
- On the formulation and numerical simulation of distributed-order fractional optimal control problems
- A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations
- Approximation methods for the distributed order calculus using the convolution quadrature
- Fast Crank-Nicolson compact difference scheme for the two-dimensional time-fractional mobile/immobile transport equation
- Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
- A time two-grid algorithm based on finite difference method for the two-dimensional nonlinear time-fractional mobile/immobile transport model
- A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
- TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model
- A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations
- Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models
- A numerical method for distributed order time fractional diffusion equation with weakly singular solutions
- A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
- Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions
- Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation
- An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions
- Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations
- High-order compact difference schemes for the modified anomalous subdiffusion equation
- Discretized Fractional Calculus
- A Newton linearized compact finite difference scheme for one class of Sobolev equations
- Galerkin–Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation
- A linearized finite difference/spectral-Galerkin scheme for three-dimensional distributed-order time-space fractional nonlinear reaction-diffusion-wave equation: numerical simulations of Gordon-type solitons
