Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation

DOI10.1186/S13662-017-1348-2zbMath1422.35179OpenAlexW2756086066WikidataQ59513569 ScholiaQ59513569MaRDI QIDQ1630015

Ying Wang, Liquan Mei

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1348-2

zbMATH Keywords

time-fractional telegraph equationLegendre spectral Galerkin methodgeneralized finite difference scheme

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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 (9)

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations ⋮ A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations ⋮ Extended cubic B-splines in the numerical solution of time fractional telegraph equation ⋮ Numerical analysis of the fractional-order telegraph equations ⋮ An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation ⋮ Unnamed Item ⋮ Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions ⋮ Artificial Boundary Conditions for Time-Fractional Telegraph Equation ⋮ Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling

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