Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations
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Publication:487712
DOI10.1007/s10915-014-9841-1zbMath1339.65150OpenAlexW2113779080MaRDI QIDQ487712
Ying Zhao, Hong-lin Liao, Han-sheng Shi, Ya-nan Zhang
Publication date: 23 January 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9841-1
stabilityconvergenceconsistencyfinite difference schemediscrete energy methodmodified Riemann-Liouville derivativetime-fractional sub-diffusion equationsDu Fort-Frankel-type scheme
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Related Items (21)
Numerical approach for a class of distributed order time fractional partial differential equations ⋮ A weighted ADI scheme for subdiffusion equations ⋮ A piecewise memory principle for fractional derivatives ⋮ Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations ⋮ A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation ⋮ Energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon equation and coupled sine-Gordon equations ⋮ A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation ⋮ High spatial accuracy analysis of linear triangular finite element for distributed order diffusion equations ⋮ Superconvergence of FEM for distributed order time fractional variable coefficient diffusion equations ⋮ Second-order approximation scheme combined with \(H^1\)-Galerkin MFE method for nonlinear time fractional convection-diffusion equation ⋮ A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations ⋮ Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method ⋮ An improved meshless method for solving two-dimensional distributed order time-fractional diffusion-wave equation with error estimate ⋮ A meshless numerical procedure for solving fractional reaction subdiffusion model via a new combination of alternating direction implicit (ADI) approach and interpolating element free Galerkin (EFG) method ⋮ An implicit Keller box numerical scheme for the solution of fractional subdiffusion equations ⋮ Analysis of local discontinuous Galerkin method for time-space fractional convection-diffusion equations ⋮ Exponentially fitted methods for solving time fractional nonlinear reaction-diffusion equation ⋮ Several effective algorithms for nonlinear time fractional models ⋮ Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation ⋮ High-order structure-preserving Du Fort-Frankel schemes and their analyses for the nonlinear Schrödinger equation with wave operator ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations
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