A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces
From MaRDI portal
Publication:3383925
DOI10.1142/S0219876221500067OpenAlexW3090844982MaRDI QIDQ3383925
Xinlong Feng, Yuanyang Qiao, Yin-Nian He
Publication date: 16 December 2021
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876221500067
shifted Grünwald formulatime-fractional convection-diffusion equationsurface PDEsmeshless local radial point collocation method
Related Items (3)
An Efficient Numerical Scheme for the Solution of a Stochastic Volatility Model Including Contemporaneous Jumps in Finance ⋮ Meshfree methods for the variable-order fractional advection-diffusion equation ⋮ On a high-order Gaussian radial basis function generated Hermite finite difference method and its application
Cites Work
- Unnamed Item
- Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
- Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
- A high-order kernel method for diffusion and reaction-diffusion equations on surfaces
- Multiscale RBF collocation for solving PDEs on spheres
- The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces
- High-order finite element methods for time-fractional partial differential equations
- Stabilization of RBF-generated finite difference methods for convective PDEs
- A note on the finite element method for the space-fractional advection diffusion equation
- The use of PDE centres in the local RBF Hermitian method for 3D convective-diffusion problems
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Error bounds for solving pseudodifferential equations on spheres by collocation with zonal kernels
- The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
- Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation
- 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
- Galerkin approximation for elliptic PDEs on spheres
- A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres
- A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation
- Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions
- The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
- A compact integrated RBF method for time fractional convection-diffusion-reaction equations
- A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces
- The stabilized semi-implicit finite element method for the surface Allen-Cahn equation
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
- A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems
- Scattered node compact finite difference-type formulas generated from radial basis functions
- A novel Galerkin method for solving PDES on the sphere using highly localized kernel bases
- Richardson Extrapolation Method for SingularlyPerturbed Convection-Diffusion Problems on AdaptivelyGenerated Mesh
- HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A radial basis function method for the shallow water equations on a sphere
- Local RBF-FD solutions for steady convection–diffusion problems
- A Petrov--Galerkin Kernel Approximation on the Sphere
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem
- A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
- A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Fractional Crank–Nicolson–Galerkin finite element scheme for the time‐fractional nonlinear diffusion equation
- A higher order difference method for singularly perturbed parabolic partial differential equations
- Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
- Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
- A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces
This page was built for publication: A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces
