A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative
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Publication:4641558
DOI10.1080/00207160.2017.1290434zbMath1390.65075OpenAlexW2584321806MaRDI QIDQ4641558
Zhengguang Liu, Aijie Cheng, Xiao-Li Li
Publication date: 17 May 2018
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2017.1290434
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
- An explicit high order method for fractional advection diffusion equations
- On the stability and convergence of the time-fractional variable order telegraph equation
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Numerical methods and analysis for a class of fractional advection-dispersion models
- A second order explicit finite difference method for the fractional advection diffusion equation
- Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform
- A RBF meshless approach for modeling a fractal mobile/immobile transport model
- An approximate analytical solution of time-fractional telegraph equation
- High-order finite element methods for time-fractional partial differential equations
- Finite central difference/finite element approximations for parabolic integro-differential equations
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition
- Finite difference approximations for a fractional advection diffusion problem
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A new fractional finite volume method for solving the fractional diffusion equation
- FDM for fractional parabolic equations with the Neumann condition
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A parallel CGS block-centered finite difference method for a nonlinear time-fractional parabolic equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- Two finite difference schemes for time fractional diffusion-wave equation
- Finite difference/spectral approximations for the fractional cable equation
- Integration and differentiation to a variable fractional order
- Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation
- A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation
