A space-time spectral collocation method for the two-dimensional variable-order fractional percolation equations
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Publication:2001304
DOI10.1016/j.camwa.2018.02.013zbMath1419.65081OpenAlexW2792632122MaRDI QIDQ2001304
Publication date: 3 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.02.013
error estimatesfractional derivative of variable orderfractional percolation equationspace-time spectral collocation method
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Time-dependent percolation in statistical mechanics (82C43) PDEs in connection with statistical mechanics (35Q82)
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Cites Work
- Unnamed Item
- Numerical methods for solving a two-dimensional variable-order modified diffusion equation
- Numerical analysis of a new space-time variable fractional order advection-dispersion equation
- An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
- Some numerical algorithms for solving the highly oscillatory second-order initial value problems
- Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Finite difference approximations for the fractional Fokker-Planck equation
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Spectral approximation for elliptic boundary value problems
- Least squares finite-element solution of a fractional order two-point boundary value problem
- Approximate analytical solution for seepage flow with fractional derivatives in porous media
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A novel implicit finite difference method for the one-dimensional fractional percolation equation
- Exponential numerical methods for one-dimensional one-phase Stefan problems
- Finite difference approximations for two-sided space-fractional partial differential equations
- Space-time spectral method for two-dimensional semilinear parabolic equations
- Spectral Methods
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- Spectral Methods and Their Applications
- Spectral Differencing with a Twist
- Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation
- Basic Theory of Fractional Differential Equations
- Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media
