Finite difference/spectral methods for the two-dimensional distributed-order time-fractional cable equation

DOI10.1016/j.camwa.2020.06.017zbMath1452.65285OpenAlexW3048697205MaRDI QIDQ2210595

Rumeng Zheng, Fawang Liu, Ian W. Turner, Xiao-yun Jiang

Publication date: 7 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.06.017

zbMATH Keywords

stabilityconvergencedistributed order differential equationLegendre spectral methodmatrix diagonalization method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (6)

Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations ⋮ Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme ⋮ Pseudospectral analysis and approximation of two‐dimensional fractional cable equation ⋮ A meshless method for solving two-dimensional distributed-order time-fractional cable equation ⋮ A distributed‐order fractional diffusion equation with a singular density function: Analysis and approximation ⋮ Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional cable equation

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