Hermite pseudospectral method for the time fractional diffusion equation with variable coefficients
DOI10.1515/ijnsns-2016-0116zbMath1401.65115OpenAlexW2619052059MaRDI QIDQ1662364
Publication date: 17 August 2018
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2016-0116
unconditional stabilityCaputo derivativeHermite pseudospectral methodtime fractional diffusion equations
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral and pseudospectral approximations for the time fractional diffusion equation on an unbounded domain
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
- A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
- Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications
- Implicit difference approximation for the time fractional diffusion equation
- A new operational matrix for solving fractional-order differential equations
- Wavelet operational matrix method for solving fractional differential equations with variable coefficients
- Hermite pseudospectral approximations. An error estimate
- Extended algorithms for approximating variable order fractional derivatives with applications
- Numerical solution of nonlinear fractional differential equations by spline collocation methods
- Alternative variational iteration method for solving the time-fractional Fornberg-Whitham equation
- Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Haar wavelet method for solving fractional partial differential equations numerically
- A fully discrete difference scheme for a diffusion-wave system
- Finite difference methods for two-dimensional fractional dispersion equation
- Spectral approximations to the fractional integral and derivative
- Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains
- Spectral Methods
- Finite difference/spectral approximations for the fractional cable equation
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- A new approach to nonlinear partial differential equations
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Hermite pseudospectral method for the time fractional diffusion equation with variable coefficients