An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates
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Publication:5033416
DOI10.1080/00207160.2021.1895987zbMath1480.65193OpenAlexW3135394604MaRDI QIDQ5033416
Hong Wang, Xiangcheng Zheng, Zhiwei Yang
Publication date: 22 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.1895987
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Fractional ordinary differential equations (34A08)
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Cites Work
- Unnamed Item
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Numerical simulation for conservative fractional diffusion equations by an expanded mixed formulation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Mixed-type Galerkin variational principle and numerical simulation for a generalized nonlocal elastic model
- Variable order and distributed order fractional operators
- Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
- An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions
- Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations
- A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes
- Trapezoidal methods for fractional differential equations: theoretical and computational aspects
- Wellposedness and regularity of a nonlinear variable-order fractional wave equation
- Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
- The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis
- Finite element simulation and efficient algorithm for fractional Cahn-Hilliard equation
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Regularity of the solution to 1-D fractional order diffusion equations
- On the Fractional Calculus Model of Viscoelastic Behavior
- Integration and differentiation to a variable fractional order
- An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach