A novel finite volume method for the nonlinear two-sided space distributed-order diffusion equation with variable coefficients

DOI10.1016/j.cam.2020.113337zbMath1460.65110OpenAlexW3117231848MaRDI QIDQ2223890

Shui-Ping Yang, Fawang Liu, Ian W. Turner, L. B. Feng

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113337

zbMATH Keywords

convergence analysisstability analysisfinite volume methodvariable coefficientsdistributed-order diffusion equation

Mathematics Subject Classification ID

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) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (5)

General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation ⋮ An investigation of space distributed-order models for simulating anomalous transport in a binary medium ⋮ Analysis of absorbing boundary conditions for the anomalous diffusion in comb model on unbounded domain by finite volume method ⋮ A distributed‐order fractional diffusion equation with a singular density function: Analysis and approximation ⋮ Stability analysis of a class of integral equations with not necessarily differentiable solutions

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