Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
Applied Numerical Mathematics
Finite difference approximations for two-sided space-fractional partial differential equations
Applied Numerical Mathematics
Weighted average finite difference methods for fractional diffusion equations
Journal of Computational Physics
A second-order accurate numerical method for the two-dimensional fractional diffusion equation
Journal of Computational Physics
Journal of Computational Physics
Convergence of the Grünwald-Letnikov scheme for time-fractional diffusion
Journal of Computational and Applied Mathematics
Finite difference/spectral approximations for the time-fractional diffusion equation
Journal of Computational Physics
Numerical solutions for fractional reaction-diffusion equations
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Matrix approach to discrete fractional calculus II: Partial fractional differential equations
Journal of Computational Physics
Compact finite difference method for the fractional diffusion equation
Journal of Computational Physics
Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
Applied Numerical Mathematics
Finite difference approximations for two-sided space-fractional partial differential equations
Applied Numerical Mathematics
Advances in Engineering Software
Journal of Computational and Applied Mathematics
Fractional-based approach in neural networks for identification problem
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Fractional-order hopfield neural networks
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
A compact finite difference scheme for the fractional sub-diffusion equations
Journal of Computational Physics
Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE
SIAM Journal on Numerical Analysis
Application of Legendre wavelets for solving fractional differential equations
Computers & Mathematics with Applications
The BEM for numerical solution of partial fractional differential equations
Computers & Mathematics with Applications
Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
Journal of Computational Physics
Efficient computational algorithms for solving one class of fractional boundary value problems
Computational Mathematics and Mathematical Physics
Computers & Mathematics with Applications
Hi-index | 31.49 |
Anomalous diffusion is a possible mechanism underlying plasma transport in magnetically confined plasmas. To model this transport mechanism, fractional order space derivative operators can be used. Here, the numerical properties of partial differential equations of fractional order α, 1 ≤ α ≤ 2, are studied. Two numerical schemes, an explicit and a semi-implicit one, are used in solving these equations. Two different discretization methods of the fractional derivative operator have also been used. The accuracy and stability of these methods are investigated for several standard types of problems involving partial differential equations of fractional order.