Galerkin spectral method for nonlinear time fractional cable equation with smooth and nonsmooth solutions

DOI10.1016/j.amc.2018.12.072zbMath1429.65248OpenAlexW2910867019WikidataQ128593826 ScholiaQ128593826MaRDI QIDQ2009235

Shujuan Lü, Haiyu Liu

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.072

zbMATH Keywords

stabilityconvergenceLegendre spectral methodnonsmooth solutionsnonlinear fractional cable equation

Mathematics Subject Classification ID

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)

Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations ⋮ Barycentric-Legendre interpolation method for solving two-dimensional fractional cable equation in neuronal dynamics ⋮ The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation ⋮ Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution ⋮ A local hybrid kernel meshless method for numerical solutions of two‐dimensional fractional cable equation in neuronal dynamics ⋮ A new method of solving the best approximate solution for a nonlinear fractional equation

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