An explicit numerical method for the fractional cable equation

DOI10.1155/2011/231920zbMath1237.65097OpenAlexW2154561426WikidataQ58686720 ScholiaQ58686720MaRDI QIDQ762911

Santos B. Yuste, Joaquín Quintana-Murillo

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/231920

zbMATH Keywords

stabilityconvergencevon Neumann methoddifference schemefractional cable equationRiemann-Liouville derivativesGrünwald-Letnikov formular

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) Second-order hyperbolic equations (35L10) Fractional partial differential equations (35R11)

Related Items

Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation ⋮ Numerical simulations for a variable order fractional cable equation ⋮ Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition ⋮ A new fully discrete finite difference/element approximation for fractional cable equation ⋮ The lumped mass FEM for a time-fractional cable equation ⋮ A two-grid finite element approximation for a nonlinear time-fractional Cable equation ⋮ Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation ⋮ Nonsmooth data error estimates for FEM approximations of the time fractional cable equation ⋮ Non-local telegrapher's equation as a transmission line model ⋮ The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes ⋮ Barycentric rational interpolation method for solving fractional cable equation ⋮ An approximate solution of fractional cable equation by homotopy analysis method ⋮ Galerkin spectral method for nonlinear time fractional cable equation with smooth and nonsmooth solutions ⋮ A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations ⋮ An explicit numerical method for the fractional cable equation

Uses Software

• ma2dfc

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