Finite difference approximations for fractional advection-dispersion flow equations
Journal of Computational and Applied Mathematics
A second-order accurate numerical approximation for the fractional diffusion equation
Journal of Computational Physics
Finite difference/spectral approximations for the time-fractional diffusion equation
Journal of Computational Physics
Implicit finite difference approximation for time fractional diffusion equations
Computers & Mathematics with Applications
Finite difference approximations for two-sided space-fractional partial differential equations
Applied Numerical Mathematics
An implicit RBF meshless approach for time fractional diffusion equations
Computational Mechanics
Quadratic spline solution for boundary value problem of fractional order
Numerical Algorithms
On the solvability of a fractional differential equation model involving the p-Laplacian operator
Computers & Mathematics with Applications
Boundary particle method for Laplace transformed time fractional diffusion equations
Journal of Computational Physics
Regularization for a fractional sideways heat equation
Journal of Computational and Applied Mathematics
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This study makes the first attempt to apply the Kansa method in the solution of the time fractional diffusion equations, in which the MultiQuadrics and thin plate spline serve as the radial basis function. In the discretization formulation, the finite difference scheme and the Kansa method are respectively used to discretize time fractional derivative and spatial derivative terms. The numerical solutions of one- and two-dimensional cases are presented and discussed, which agree well with the corresponding analytical solution.