Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment
DOI10.1186/s13662-020-02740-8zbMath1482.65135OpenAlexW3034976773MaRDI QIDQ2078495
Publication date: 28 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02740-8
Riesz fractional fractional variable-order derivativetime-space variable-order fractional nonlinear thermoelasticityvon Neumann stability methodweighted average nonstandard finite difference methods
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) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Theories of thermal stresses based on space-time-fractional telegraph equations
- The fractional-order modeling and synchronization of electrically coupled neuron systems
- The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics
- A non-standard numerical scheme for a generalized Gause-type predator--prey model
- Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
- Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
- Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems
- Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation
- Numerical solution for the Cauchy problem in nonlinear 1-D- thermoelasticity
- The local and global existence of the solutions of hyperbolic-parabolic system modeling biological phenomena
- The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
- Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method
- Harmonic wave generation in nonlinear thermoelasticity by variational iteration method and Adomian's method
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Numerical solutions for a coupled parabolic equations arising induction heating processes
- Analytical solution of a fractional diffusion equation by variational iteration method
- Numerical solution for a nonlinear, one-dimensional problem of thermoelasticity
- Harmonic wave generation in nonlinear thermoelasticity
- Existence of almost everywhere solution for nonlinear hyperbolic--parabolic system
- Variable order and distributed order fractional operators
- Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order
- An uncoupled numerical scheme for the equations of nonlinear one- dimensional thermoelasticity
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Numerical studies for the variable-order nonlinear fractional wave equation
- Fractional thermoelasticity
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Solving a multi-order fractional differential equation using Adomian decomposition
- Variational iteration method for one-dimensional nonlinear thermoelasticity
- Weighted average finite difference methods for fractional diffusion equations
- FDM for multi-dimensional nonlinear coupled system of parabolic and hyperbolic equations
- Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space
- A note on an NSFD scheme for a mathematical model of respiratory virus transmission
- A non-standard finite difference method to solve a model of HIV–Malaria co-infection
- Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
- 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
- Integration and differentiation to a variable fractional order
- Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Variational formulation for the stationary fractional advection dispersion equation
- Fractional diffusion in inhomogeneous media
- An efficient method for solving fractional Hodgkin-Huxley model
This page was built for publication: Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment