L1 scheme on graded mesh for subdiffusion equation with nonlocal diffusion term
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Publication:2670399
DOI10.1016/J.MATCOM.2022.01.006OpenAlexW4226031447MaRDI QIDQ2670399
Sudhakar Chaudhary, Pari J. Kundaliya
Publication date: 11 March 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.02798
Related Items (3)
Symmetric fractional order reduction method with \(L1\) scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type ⋮ A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction-diffusion equations exhibiting weak initial singularity ⋮ Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines
Cites Work
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A second-order accurate numerical method for a fractional wave equation
- Fractional models, non-locality, and complex systems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On the asymptotic behaviour of some nonlocal problems
- A direct discontinuous Galerkin method for a time-fractional diffusion equation with a Robin boundary condition
- A reaction-diffusion model for a class of nonlinear parabolic equations with moving boundaries: existence, uniqueness, exponential decay and simulation
- Finite element analysis of nonlocal coupled parabolic problem using Newton's method
- Galerkin type methods for semilinear time-fractional diffusion problems
- Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy
- Optimal \(H^1\) spatial convergence of a fully discrete finite element method for the time-fractional Allen-Cahn equation
- Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Optimal spatial \(H^1\)-norm analysis of a finite element method for a time-fractional diffusion equation
- Remarks on weak solutions for a nonlocal parabolic problem
- A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation
- Finite Element Method for a Nonlocal Problem of Kirchhoff Type
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Error estimates for Galerkin finite element approximations of time-fractional nonlocal diffusion equation
- 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
- Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data
- Finite element approximation of nonlocal parabolic problem
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Galerkin Finite Element Methods for Parabolic Problems
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- Effect of bacterial memory dependent growth by using fractional derivatives reaction-diffusion chemotactic model
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