Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions
DOI10.35634/2226-3594-2022-59-04zbMath1496.65116OpenAlexW4283122381MaRDI QIDQ5040969
Mohammed Ali Faya Ibrahim, Vladimir G. Pimenov
Publication date: 18 October 2022
Published in: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/iimi427
order of convergenceNeumann conditionsGrünwald-Letnikov approximationCrank-Nicholson methodfunctional delayRiesz derivativessuperdiffusion equations
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients
- Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations
- Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations
- A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay
- High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology
- Temporal second order difference schemes for the multi-dimensional variable-order time fractional sub-diffusion equations
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- A fast solver for multidimensional time-space fractional diffusion equation with variable coefficients
- A conservative scheme with optimal error estimates for a multidimensional space-fractional Gross-Pitaevskii equation
- A second-order accurate numerical approximation for the fractional diffusion equation
- Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?
- Bifurcation Analysis of a Modified Tumor-immune System Interaction Model Involving Time Delay
- Fractional differentiation matrices with applications
- A class of second order difference approximations for solving space fractional diffusion equations
- Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations
This page was built for publication: Numerical method for system of space-fractional equations of superdiffusion type with delay and Neumann boundary conditions
