Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations
DOI10.1007/s40314-020-1134-8zbMath1449.65325OpenAlexW3012323794MaRDI QIDQ2307862
Da Xu, Jing Guo, Hai-Feng Wang
Publication date: 25 March 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-1134-8
stabilityconvergencenumerical experimentsweak Galerkin finite-element methodthe time-fractional nonlinear integral differential equation
Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Integro-partial differential equations (35R09)
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Cites Work
- Unnamed Item
- An \(H\)-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms
- The long time error analysis in the second order difference type method of an evolutionary integral equation with completely monotonic kernel
- A modified weak Galerkin finite element method for the Stokes equations
- Finite element methods of the two nonlinear integro-differential equations
- Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel
- A weak Galerkin finite element method for Burgers' equation
- A weak Galerkin finite element method for second-order elliptic problems
- Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel
- Analytical and numerical solutions of a class of nonlinear integro-differential equations with \(L^1\) kernels
- A minimax approach for the study of systems of variational equations and related Galerkin schemes
- A fully discrete difference scheme for a diffusion-wave system
- A general theory of heat conduction with finite wave speeds
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Weak Galerkin finite element methods for Parabolic equations
- Discretized Fractional Calculus
- A weak Galerkin mixed finite element method for second order elliptic problems
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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