A stable RBF-FD method for solving two-dimensional variable-order time fractional advection-diffusion equation
From MaRDI portal
Publication:6539088
DOI10.1016/j.enganabound.2023.04.031zbMATH Open1539.65133MaRDI QIDQ6539088
Faezeh Toutounian, Ali R. Soheili, Marzieh Biglari
Publication date: 14 May 2024
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
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) Numerical radial basis function approximation (65D12)
Cites Work
- A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Stabilization of RBF-generated finite difference methods for convective PDEs
- On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy
- An analysis of a finite-difference and a Galerkin technique applied to the simulation of advection and diffusion of air pollutants from a line source
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media
- A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
- Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients
- Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion equations
- A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels
- Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model
- Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system
- A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- Fractional calculus in economic growth modelling of the group of seven
- Finite difference/spectral approximations for the time-fractional diffusion equation
- On choosing ``optimal shape parameters for RBF approximation
- Applications of fractional calculus in physics
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A NONLOCAL MODELING FOR SOLVING TIME FRACTIONAL DIFFUSION EQUATION ARISING IN FLUID MECHANICS
- Solving PDEs with radial basis functions
- A localized hybrid kernel meshless technique for solving the fractional Rayleigh-Stokes problem for an edge in a viscoelastic fluid
- A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions
Related Items (3)
A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach ⋮ Solution of MHD-Stokes flow in an L-shaped cavity with a local RBF-supported finite difference ⋮ Approximate solution of stochastic Allen-Cahn equation of fractional order using finite difference and RBF-based meshfree method
This page was built for publication: A stable RBF-FD method for solving two-dimensional variable-order time fractional advection-diffusion equation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6539088)
