• FODE

  • Referenced in 286 articles [sw08377]
  • algorithm for the time fractional Fokker-Planck equation. Anomalous diffusion is one of the most ... media, diffusion of plasma, diffusion at liquid surfaces, etc. The fractional approach proved ... anomalous diffusion, it would be useful to study a time fractional Fokker-Planck equation...
  • FracSym

  • Referenced in 26 articles [sw16769]
  • Symmetry properties of fractional diffusion equations”, Phys. Scr. 2009, T136, Article...
  • Adaptative L1 TE and Predictive

  • Referenced in 18 articles [sw32154]
  • robust adaptive finite difference methods for fractional diffusion equations. The computation time required by standard ... methods with fixed timesteps for solving fractional diffusion equations is usually very large because...
  • FPINNs

  • Referenced in 21 articles [sw40570]
  • PINNs (fPINNs) to solve space-time fractional advection-diffusion equations (fractional ADEs), and we demonstrate ... identify the fractional orders, diffusion coefficients, and transport velocities and obtain accurate results even...
  • Camino

  • Referenced in 17 articles [sw15543]
  • implements standard techniques, such as diffusion tensor fitting, mapping fractional anisotropy and mean diffusivity, deterministic...
  • AD-TIC

  • Referenced in 1 article [sw17727]
  • Coefficients identification in fractional diffusion models by the method of time integral characteristics. Inverse problems ... identification of the fractional diffusivity and the order of fractional differentiation are considered for linear ... required parameters of the fractional diffusion equations by approximately known initial data. These algorithms ... parameter which is formed by the fractional diffusivity, the order of fractional differentiation...
  • FractionalTimeDG.jl

  • Referenced in 1 article [sw38878]
  • discontinuous Galerkin time-stepping of fractional diffusion problems. Paper: Implementation of high-order, discontinuous Galerkin ... time stepping for fractional diffusion problems. The discontinuous Galerkin dG method provides a robust ... technique for the time integration of fractional diffusion problems. However, a practical implementation uses coefficients ... classical diffusion problems carry over in a modified form to the fractional-order setting...
  • Kilbas Saigo

  • Referenced in 2 articles [sw36393]
  • used in the paper, ”Fractional Order Complexity Model of the Diffusion Signal Decay ... Equations (5) and (8) in the paper, ”Fractional Models of Anomalous Relaxation Based...
  • MULTI2D

  • Referenced in 8 articles [sw00004]
  • radiation transfer coupled with Lagrangian hydrodynamics, heat diffusion and beam tracing (laser or ions ... symmetric geometry (R-Z coordinates) using a fractional step scheme. Radiation transfer is solved with...
  • TauFactor

  • Referenced in 4 articles [sw20631]
  • tortuosity factor, as well as volume fractions, surface areas and triple phase boundary densities, from ... tortuosity factor quantifies the apparent decrease in diffusive transport resulting from convolutions of the flow...
  • OPPDIF

  • Referenced in 6 articles [sw15840]
  • Fortran program that computes the diffusion flame between two opposing nozzles. A similarity transformation reduces ... OPPDIF solves for the temperature, species mass fractions, axial and radial velocity components, and radial...
  • girdap

  • Referenced in 1 article [sw24936]
  • heat diffusion equation on adaptive grids and laminar lid-driven cavity flow using fractional step...
  • SimPL

  • Referenced in 1 article [sw26255]
  • program achieves this by simulating the diffusion, trapping, and annihilation, of positrons in solids. Users ... spatial distributions have on the positron trapping fraction...
  • TFPDE

  • Referenced in 6 articles [sw12622]
  • simulate the moment statistics of stochastic reaction-diffusion equations with additive TαS white noises ... processes; second, we directly solve the tempered fractional PDE (TFPDE). We show that the numerical...
  • CobWeb

  • Referenced in 1 article [sw26487]
  • porosity trends, pore size distribution, and volume fraction of different phases can be performed ... using both non-local means and anisotropic diffusion filtering. The desired automatic segmentation...
  • ANSYS

  • Referenced in 685 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • AXIOM

  • Referenced in 172 articles [sw00063]
  • Axiom is a general purpose Computer Algebra system...
  • COLAMD

  • Referenced in 30 articles [sw00145]
  • Two codes are discussed, COLAMD and SYMAMD, that...
  • Diffpack

  • Referenced in 115 articles [sw00203]
  • As modern programming methodologies migrate from computer science...
  • Expokit

  • Referenced in 189 articles [sw00258]
  • Expokit provides a set of routines aimed at...