Analysis and discretization of a variable-order fractional wave equation
From MaRDI portal
Publication:2247072
DOI10.1016/j.cnsns.2021.106047OpenAlexW3200687996MaRDI QIDQ2247072
Publication date: 16 November 2021
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106047
well-posedness and regularityfinite element method and error estimatefractional wave equation of variable orderviscoelastic modeling
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)
Related Items
Numerical discretization and fast approximation of a variably distributed-order fractional wave equation, Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators, Compatibility of the Paraskevopoulos's algorithm with operational matrices of Vieta-Lucas polynomials and applications, Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation, Jacobian spectral collocation method for spatio-temporal coupled Fokker-Planck equation with variable-order fractional derivative
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- Existence theory for an arbitrary order fractional differential equation with deviating argument
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Galerkin finite element methods for parabolic problems
- A second-order accurate numerical method for a fractional wave equation
- Non-standard extensions of gradient elasticity: fractional non-locality, memory and fractality
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The fundamental solutions for the fractional diffusion-wave equation
- On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions
- The variable-order fractional calculus of variations
- A unified Petrov-Galerkin spectral method for fractional PDEs
- The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
- Variable order and distributed order fractional operators
- Integral equations. Theory and numerical treatment
- A thermodynamically consistent fractional visco-elasto-plastic model with memory-dependent damage for anomalous materials
- Caputo derivatives of fractional variable order: numerical approximations
- Fractional and integer derivatives with continuously distributed lag
- Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
- Wellposedness and regularity of a nonlinear variable-order fractional wave equation
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Convolution quadrature time discretization of fractional diffusion-wave equations
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
- Finite Volume Methods for Hyperbolic Problems
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Integration and differentiation to a variable fractional order
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
- Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
