Investigations for a type of variable coefficient fractional subdiffusion equation with multidelay

DOI10.1155/2020/6964159zbMath1447.35354OpenAlexW3048960057MaRDI QIDQ2198918

Wei Gu

Publication date: 15 September 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/6964159

zbMATH Keywords

fractional derivative with respect to time

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
• Delay differential equations: with applications in population dynamics
• Finite difference approximations for the fractional Fokker-Planck equation
• A numerical algorithm for stability testing of fractional delay systems
• Nonlinear stability of discontinuous Galerkin methods for delay differential equations
• Ordinary and delay differential equations
• Theory and applications of partial functional differential equations
• Modifications of the optimal velocity traffic model to include delay due to driver reaction time
• The stability of the \(\theta\)-methods in the numerical solution of delay differential equations with several delay terms
• A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
• The continuous Galerkin finite element methods for linear neutral delay differential equations
• Solving fractional delay differential equations: a new approach
• Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation
• Numerical solution of time-fractional nonlinear PDEs with proportional delays by homotopy perturbation method
• \(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations
• A fully discrete difference scheme for a diffusion-wave system
• Superconvergence of a Dg Method for First-Order Linear Delay Differential Equations
• Computational methods for delay parabolic and time-fractional partial differential equations
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays
• Numerical Investigations of a Class of Biological Models on Unbounded Domain