A compact locally one-dimensional method for fractional diffusion-wave equations
From MaRDI portal
Publication:499970
DOI10.1007/s12190-014-0823-0zbMath1339.65142OpenAlexW1995573693MaRDI QIDQ499970
Publication date: 7 October 2015
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-014-0823-0
finite difference schemeerror estimatenumerical resultfractional diffusion-wave equationcompact locally one-dimensional method
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) Fractional partial differential equations (35R11) Boundary value problems for PDEs of mixed type (35M12)
Related Items (6)
A second-order \(L2\)-\(1_\sigma\) Crank-Nicolson difference method for two-dimensional time-fractional wave equations with variable coefficients ⋮ Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations ⋮ An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation ⋮ Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions ⋮ Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions ⋮ A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A higher-order compact LOD method and its extrapolations for nonhomogeneous parabolic differential equations
- An implicit RBF meshless approach for time fractional diffusion equations
- Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
- Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Error and extrapolation of a compact LOD method for parabolic differential equations
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- Compact finite difference method for the fractional diffusion equation
- Finite difference approximations for the fractional Fokker-Planck equation
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Continuous-time random walk and parametric subordination in fractional diffusion
- ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation
- Numerical schemes and multivariate extrapolation of a two-dimensional anomalous sub-diffusion equation
- Particle tracking for fractional diffusion with two time scales
- Numerical simulations of 2D fractional subdiffusion problems
- A numerical approximation method for solving a three-dimensional space Galilei invariant fractional advection-diffusion equation
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The fundamental solutions for the fractional diffusion-wave equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Waiting-times and returns in high-frequency financial data: An empirical study
- Time fractional diffusion: A discrete random walk approach
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Weighted average finite difference methods for fractional diffusion equations
- Finite difference methods for two-dimensional fractional dispersion equation
- An accurate LOD scheme for two-dimensional parabolic problems
- Two finite difference schemes for time fractional diffusion-wave equation
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Fractional diffusion and wave equations
- A compact locally one-dimensional finite difference method for nonhomogeneous parabolic differential equations
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- Numerical methods for solving a two-dimensional variable-order anomalous subdiffusion equation
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- The fractional diffusion equation
- A Numerical Method for a Partial Integro-Differential Equation
- Novel numerical methods for time-space fractional reaction diffusion equations in two dimensions
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Response of a diffusion‐wave system subjected to deterministic and stochastic fields
- Limit theorem for continuous-time random walks with two time scales
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A compact locally one-dimensional method for fractional diffusion-wave equations
