A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation
From MaRDI portal
Publication:2214650
DOI10.1016/j.jcp.2018.12.043zbMath1451.65131arXiv1809.02301OpenAlexW2915807213WikidataQ115350117 ScholiaQ115350117MaRDI QIDQ2214650
Xiuling Hu, Xin Kai Li, Jianming Liu
Publication date: 10 December 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.02301
Neumann boundary conditionradial basis functiondifferential quadrature methodRBF-differential quadrature methodvariable-order time fractional
Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Numerical radial basis function approximation (65D12)
Related Items (14)
An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment ⋮ The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations ⋮ An implicit high-order radial basis function-based differential quadrature-finite volume method on unstructured grids to simulate incompressible flows with heat transfer ⋮ A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation ⋮ Solving fractional time-delay diffusion equation with variable-order derivative based on shifted Legendre-Laguerre operational matrices ⋮ 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 ⋮ A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions ⋮ A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems ⋮ A high-efficient accurate coupled mesh-free scheme for 2D/3D space-fractional convection-diffusion/Burgers' problems ⋮ Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE ⋮ Numerical simulation of extended mild-slope equation including wave breaking effect ⋮ An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique ⋮ An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry ⋮ A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical algorithm for the variable-order Caputo fractional functional differential equation
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- Numerical techniques for the variable-order time fractional diffusion equation
- Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
- Unsteady seepage analysis using local radial basis function-based differential quadrature method
- Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Computing a numerical solution of two dimensional non-linear Schrödinger equation on complexly shaped domains by RBF based differential quadrature method
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- Analysis of 3D solids using the natural neighbour radial point interpolation method
- 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
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- A novel upwind-based local radial basis function differential quadrature method for convection-dominated flows
- The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
- Method of approximate particular solutions for constant- and variable-order fractional diffusion models
- Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains
- The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- Parareal algorithms with local time-integrators for time fractional differential equations
- A new method for evaluating options based on multiquadric RBF-FD method
- Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method
- Variable order and distributed order fractional operators
- Finite difference approximations for fractional advection-dispersion flow equations
- Parallel algorithms for nonlinear time-space fractional parabolic PDEs
- Fractional difference/finite element approximations for the time-space fractional telegraph equation
- Fractional derivative models for atmospheric dispersion of pollutants
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- Adaptive finite element method for fractional differential equations using hierarchical matrices
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- An upwind local RBF-DQ method for simulation of inviscid compressible flows
- Time-dependent fractional advection-diffusion equations by an implicit MLS meshless method
- Scattered Data Interpolation: Tests of Some Method
- A new immersed boundary method for compressible Navier–Stokes equations
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- A Separable Preconditioner for Time-Space Fractional Caputo-Riesz Diffusion Equations
- Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions
- Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model
This page was built for publication: A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation
