Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations

DOI10.1186/s13662-020-02786-8zbMath1485.65099OpenAlexW3043208752MaRDI QIDQ2114233

Hong Li, Jie Zhao, Zhichao Fang, Yang Liu

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02786-8

zbMATH Keywords

unconditional stabilityexistence and uniquenessfinite volume element methodnonlinear fractional mobile/immobile transport equationsoptimal \textit{a priori} error estimateWSGD formula

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (7)

Efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation ⋮ The finite volume element method for the two-dimensional space-fractional convection-diffusion equation ⋮ Finite volume element methods for two-dimensional time fractional reaction–diffusion equations on triangular grids ⋮ A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation ⋮ Unconditionally optimal convergence of a linearized Galerkin FEM for the nonlinear time-fractional mobile/immobile transport equation ⋮ A local meshless method for solving multi-dimensional Galilei invariant fractional advection-diffusion equation ⋮ Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
• A two-grid finite element approximation for a nonlinear time-fractional Cable equation
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
• Numerical methods and analysis for a class of fractional advection-dispersion models
• A RBF meshless approach for modeling a fractal mobile/immobile transport model
• A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems
• Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation
• High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
• An analysis of finite volume element method for solving the Signorini problem
• A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection-diffusion equations
• Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation
• Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation
• Finite volume element method and its stability analysis for analyzing the behavior of sub-diffusion problems
• Finite difference approximations for fractional advection-dispersion flow equations
• A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
• A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burger's-Huxley and reaction-diffusion equation with Atangana-Baleanu derivative
• Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana-Baleanu time fractional derivative
• Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations
• Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction-diffusion and Galilei invariant advection-diffusion equations
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• Finite difference approximations for two-sided space-fractional partial differential equations
• Error estimates of finite volume element method for the pollution in groundwater flow
• Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
• Finite volume element method for two-dimensional fractional subdiffusion problems
• Finite volume element approximations of nonlocal reactive flows in porous media
• Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data
• Fractional differentiation matrices with applications
• A class of second order difference approximations for solving space fractional diffusion equations
• Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions

This page was built for publication: Finite volume element method with the WSGD formula for nonlinear fractional mobile/immobile transport equations