Numerical solution of the space-time fractional diffusion equation based on fractional reproducing kernel collocation method
From MaRDI portal
Publication:6168165
DOI10.1007/s10092-023-00525-5OpenAlexW4377022340MaRDI QIDQ6168165
Huan Min Yao, Jiabao Yang, Rui Sun
Publication date: 10 July 2023
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-023-00525-5
stabilityconvergencecollocation methodspace-time fractional diffusion equationfractional reproducing kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A second order finite difference-spectral method for space fractional diffusion equations
- A fractional-order differential equation model of HIV infection of \(CD4^{+}\) T-cells
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy
- An efficient numerical method for variable order fractional functional differential equation
- Normalized Bernstein polynomials in solving space-time fractional diffusion equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Superconvergent gradient smoothing meshfree collocation method
- Finite difference method for a fractional porous medium equation
- A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave equation
- A stable and efficient technique for linear boundary value problems by applying kernel functions
- Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data
- Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- A new higher order accurate reproducing kernel-based approach for boundary value problems
- A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations
- A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations
- A gradient reproducing kernel collocation method for high order differential equations
- Global well-posedness of coupled parabolic systems
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A collocation method for fractional diffusion equation in a long time with Chebyshev functions
- Finite element method for space-time fractional diffusion equation
- Semilinear Caputo time-fractional pseudo-parabolic equations
- NONLINEAR WAVE EQUATIONS AND REACTION–DIFFUSION EQUATIONS WITH SEVERAL NONLINEAR SOURCE TERMS OF DIFFERENT SIGNS AT HIGH ENERGY LEVEL
- Stochastic solution of space-time fractional diffusion equations
- A gradient reproducing kernel collocation method for boundary value problems
- Error analysis of collocation method based on reproducing kernel approximation
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Exact solution of a class of fractional integro‐differential equations with the weakly singular kernel based on a new fractional reproducing kernel space
- Reproducing kernel particle methods
- A new algorithm for fractional differential equation based on fractional order reproducing kernel space
- Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems
