Numerical approximation of time-dependent fractional convection-diffusion-wave equation by RBF-FD method

Meshless approach to the large-eddy simulation of the continuous casting process ⋮ A local collocation method with radial basis functions for an electrospinning problem ⋮ A new high-order nine-point stencil, based on integrated-RBF approximations, for the first biharmonic equation ⋮ Numerical approximation of time fractional partial integro-differential equation based on compact finite difference scheme

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A mixed finite element method for a time-fractional fourth-order partial differential equation
A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
A meshless method to the solution of an ill-posed problem
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations
An implicit RBF meshless approach for time fractional diffusion equations
Use of singularity capturing functions in the solution of problems with discontinuous boundary conditions
A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere
High-order finite element methods for time-fractional partial differential equations
Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
RBF-FD formulas and convergence properties
Stabilization of RBF-generated finite difference methods for convective PDEs
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
On using radial basis functions in a ``finite difference mode with applications to elasticity problems
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
A new operational matrix for solving fractional-order differential equations
Stability and convergence of the difference methods for the space-time 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
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations
Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
Finite difference approximations for fractional advection-dispersion flow equations
Error estimates and condition numbers for radial basis function interpolation
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
Numerical solution of fractional advection-diffusion equation with a nonlinear source term
Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics
Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations
Finite difference/spectral approximations for the time-fractional diffusion equation
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
Scattered node compact finite difference-type formulas generated from radial basis functions
A PDE Approach to Space-Time Fractional Parabolic Problems
Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
Local RBF-FD solutions for steady convection–diffusion problems
Radial Basis Functions
A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
Scattered Data Approximation