Numerical simulation for the three-dimension fractional sub-diffusion equation

From MaRDI portal
Publication:1629846

DOI10.1016/j.apm.2014.03.031zbMath1429.65179OpenAlexW2056516362MaRDI QIDQ1629846

Y. Aharonov

Publication date: 12 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.03.031




Related Items (24)

Convergence and superconvergence analyses of HDG methods for time fractional diffusion problemsSuperconvergence of a finite element method for the time-fractional diffusion equation with a time-space dependent diffusivityFinite difference/spectral approximations for the distributed order time fractional reaction-diffusion equation on an unbounded domainAnalysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary conditionLocal RBF method for transformed three dimensional sub-diffusion equationsA discontinuous Galerkin method for time fractional diffusion equations with variable coefficientsGeneralized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equationsOn the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equationsNumerical solutions of fourth‐order fractional sub‐diffusion problems via parametric quintic splineA fast accurate approximation method with multigrid solver for two-dimensional fractional sub-diffusion equationA higher order non-polynomial spline method for fractional sub-diffusion problemsThe high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equationQuadratic spline collocation method for the time fractional subdiffusion equationFEM for time-fractional diffusion equations, novel optimal error analysesAn efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equationSpectral methods for the time fractional diffusion-wave equation in a semi-infinite channelNon-polynomial spline approach in two-dimensional fractional sub-diffusion problemsFast difference schemes for solving high-dimensional time-fractional subdiffusion equationsFast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensionsError analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensionsTime-Splitting Schemes for Fractional Differential Equations I: Smooth SolutionsA numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equationsSolving 3D time-fractional diffusion equations by high-performance parallel computingA formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation


Uses Software


Cites Work


This page was built for publication: Numerical simulation for the three-dimension fractional sub-diffusion equation