Novel numerical method of the fractional cable equation
DOI10.1007/s12190-019-01302-wOpenAlexW2987773055MaRDI QIDQ2053307
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-019-01302-w
stabilityconvergencethe fractional cable equationthe second order compact approximation of first order derivative
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) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Cites Work
- Numerical solution for the variable order linear cable equation with Bernstein polynomials
- Galerkin finite element method and error analysis for the fractional cable equation
- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- An approximate solution of fractional cable equation by homotopy analysis method
- Numerical analysis for a variable-order nonlinear cable equation
- Implicit compact difference schemes for the fractional cable equation
- An improved meshless algorithm for a kind of fractional cable problem with error estimate
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation
- The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation
- Fractional derivatives with no-index law property: application to chaos and statistics
- A new derivative with normal distribution kernel: theory, methods and applications
- Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Analytical solutions for the fractional nonlinear cable equation using a modified homotopy perturbation and separation of variables methods
- Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation
- Analytical Solutions, Moments, and Their Asymptotic Behaviors for the Time-Space Fractional Cable Equation
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Finite difference/spectral approximations for the fractional cable equation
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