On the stability and convergence of the time-fractional variable order telegraph equation
From MaRDI portal
Publication:349911
DOI10.1016/j.jcp.2014.12.043zbMath1349.65263OpenAlexW1985037772MaRDI QIDQ349911
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.12.043
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)
Related Items (75)
On three-dimensional variable order time fractional chaotic system with nonsingular kernel ⋮ Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model ⋮ Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative ⋮ Coexistence of multi-scroll chaotic attractors for fractional systems with exponential law and non-singular kernel ⋮ Haar wavelets method for time fractional Riesz space telegraph equation with separable solution ⋮ Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis ⋮ The existence of solutions and generalized Lyapunov-type inequalities to boundary value problems of differential equations of variable order ⋮ Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions ⋮ Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line ⋮ Stability and convergence analysis of a variable order replicator-mutator process in a moving medium ⋮ A finite difference method for fractional diffusion equations with Neumann boundary conditions ⋮ Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order ⋮ A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel ⋮ Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations ⋮ A new algorithm for solving dynamic equations on a time scale ⋮ Noether's theorem for fractional Birkhoffian systems of variable order ⋮ A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel ⋮ Numerical technique based on the interpolation with Lagrange polynomials to analyze the fractional variable-order mathematical model of the hepatitis C with different types of virus genome ⋮ On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation ⋮ An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation ⋮ Control of finite-time anti-synchronization for variable-order fractional chaotic systems with unknown parameters ⋮ Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation ⋮ Mixed finite element algorithm for a nonlinear time fractional wave model ⋮ Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems ⋮ A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel ⋮ Dynamics of traveling waves of variable order hyperbolic Liouville equation: regulation and control ⋮ Dynamical behaviour of fractional-order predator-prey system of Holling-type ⋮ Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations ⋮ Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks ⋮ A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition ⋮ A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley-Torvik differential equation ⋮ Robust control for uncertain variable fractional order differential systems considering time‐varying delays and nonlinear perturbations ⋮ Finite difference/collocation method to solve multi term variable‐order fractional reaction–advection–diffusion equation in heterogeneous medium ⋮ A fully spectral tau method for a class of linear and nonlinear variable-order time-fractional partial differential equations in multi-dimensions ⋮ Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations ⋮ Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation ⋮ Solvability of chaotic fractional systems with 3D four-scroll attractors ⋮ Mathematical analysis and efficient finite element approximation for variable‐order time‐fractional reaction–diffusion equation with nonsingular kernel ⋮ A convergent exponential B-spline collocation method for a time-fractional telegraph equation ⋮ A GENERALIZED FRACTIONAL ORDER MODEL FOR COV-2 WITH VACCINATION EFFECT USING REAL DATA ⋮ Upwind-Based Numerical Approximation of a Space-Time Fractional Advection-Dispersion Equation for Groundwater Transport Within Fractured Systems ⋮ FINITE DIFFERENCE/<i>H</i><sup>1</sup>-GALERKIN MFE PROCEDURE FOR A FRACTIONAL WATER WAVE MODEL ⋮ Approximation methods for solving fractional equations ⋮ Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel ⋮ A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations ⋮ A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations ⋮ Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations ⋮ Finite element approximation of fractional order elliptic boundary value problems ⋮ A second order Crank-Nicolson scheme for fractional Cattaneo equation based on new fractional derivative ⋮ A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative ⋮ A tau method based on Jacobi operational matrix for solving fractional telegraph equation with Riesz-space derivative ⋮ A Crank-Nicolson difference scheme for the time variable fractional mobile-immobile advection-dispersion equation ⋮ Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System ⋮ A new numerical method for variable order fractional functional differential equations ⋮ An operational matrix method for solving variable-order fractional biharmonic equation ⋮ A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations ⋮ On spectral methods for solving variable-order fractional integro-differential equations ⋮ Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws ⋮ Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations ⋮ On the generalized method of lines applied to Ginzburg-Landau type equations ⋮ Numerical analysis of two new finite difference methods for time-fractional telegraph equation ⋮ A new reproducing kernel method for variable order fractional boundary value problems for functional differential equations ⋮ Numerical study of time-fractional hyperbolic partial differential equations ⋮ New spectral collocation algorithms for one- and two-dimensional Schrödinger equations with a Kerr law nonlinearity ⋮ NEW RECURSIVE APPROXIMATIONS FOR VARIABLE-ORDER FRACTIONAL OPERATORS WITH APPLICATIONS ⋮ Can derivative determine the dynamics of fractional-order chaotic system? ⋮ FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law ⋮ Numerical analysis and pattern formation process for space-fractional superdiffusive systems ⋮ Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain ⋮ A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications ⋮ Unnamed Item ⋮ Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis ⋮ Artificial Boundary Conditions for Time-Fractional Telegraph Equation ⋮ ITERATIVE METHOD APPLIED TO THE FRACTIONAL NONLINEAR SYSTEMS ARISING IN THERMOELASTICITY WITH MITTAG-LEFFLER KERNEL ⋮ New wave behaviors of the system of equations for the ion sound and Langmuir Waves
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A mixed finite element method for a time-fractional fourth-order partial differential equation
- Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform
- On the numerical solution of space-time fractional diffusion models
- On the selection and meaning of variable order operators for dynamic modeling
- Variable-order fractional derivatives and their numerical approximations
- An operator-difference method for telegraph equations arising in transmission lines
- A finite difference method for fractional partial differential equation
- On the fractional Adams method
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Design of variable and adaptive fractional order FIR differentiators
- Variable order differential equations with piecewise constant order-function and diffusion with changing modes
- Time-fractional telegraph equations and telegraph processes with Brownian time
- The space-fractional telegraph equation and the related fractional telegraph process
- Detailed error analysis for a fractional Adams method
- Variable order and distributed order fractional operators
- Fractional telegraph equations.
- Finite difference approximations for fractional advection-dispersion flow equations
- Fractional integration and differentiation of variable order
- Fractional integration operator of variable order in the Hölder spaces \(H^{\lambda (x)}\)
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Analytical solution for the time-fractional telegraph equation by the method of separating variables
- A second-order accurate numerical approximation for the fractional diffusion equation
- An iterative method for the design of variable fractional-order FIR differintegrators
- Analytic and approximate solutions of the space- and time-fractional telegraph equations
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Mechanics with variable-order differential operators
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
This page was built for publication: On the stability and convergence of the time-fractional variable order telegraph equation