Numerical Study of Time-Fractional Telegraph Equations of Transmission Line Modeling
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Publication:5866605
DOI10.4208/eajam.070921.150222zbMath1495.65137OpenAlexW4293412969MaRDI QIDQ5866605
Publication date: 22 September 2022
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.070921.150222
finite difference schemetime-fractional telegraph equationtransmission line modelingnon-smooth initial value
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) Fractional partial differential equations (35R11)
Cites Work
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- Too much regularity may force too much uniqueness
- A priori estimates for solutions of boundary value problems for fractional-order equations
- A generalized Gronwall inequality and its application to a fractional differential equation
- Analytical solution for the time-fractional telegraph equation
- Time-fractional telegraph equations and telegraph processes with Brownian time
- Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation
- Generalized time-fractional telegrapher's equation in transmission line modeling
- Numerical methods for solving the time-fractional telegraph equation
- Fractional difference/finite element approximations for the time-space fractional telegraph equation
- Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
- Numerical analysis of a two-parameter fractional telegraph equation
- A fully discrete difference scheme for a diffusion-wave system
- A diffusion wave equation with two fractional derivatives of different order
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Fast high order difference schemes for the time fractional telegraph equation
- Fractional telegrapher’s equation as a consequence of Cattaneo’s heat conduction law generalization
- Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
