Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model
From MaRDI portal
Publication:2057280
DOI10.1016/j.apnum.2021.10.002zbMath1484.92005OpenAlexW3204831510WikidataQ114208189 ScholiaQ114208189MaRDI QIDQ2057280
Publication date: 9 December 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.10.002
stabilitysplitting techniqueprey-predator modellinearized BE and BDF schemesunconditional supercloseness and superconvergence
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Computational methods for problems pertaining to biology (92-08)
Related Items (5)
Linearized transformed \(L1\) Finite element methods for semi-linear time-fractional parabolic problems ⋮ Unconditional superconvergence analysis of nonconforming \(EQ_1^{rot}\) finite element method for the nonlinear coupled predator-prey equations ⋮ Nonconforming modified quasi-Wilson finite element method for convection-diffusion-reaction equation ⋮ Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem ⋮ Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element method for nonlinear Sobolev equations
- \(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem
- Unconditional superconvergence analysis for nonlinear parabolic equation with \(EQ_1^{rot}\) nonconforming finite element
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- Positive solutions of a prey-predator model with predator saturation and competition
- Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
- Error estimates for rotated \(Q_1^{rot}\) element approximation of the eigenvalue problem on anisotropic meshes
- Superconvergence analysis of a two-grid method for semilinear parabolic equations
- Unconditional superconvergence analysis of a linearized Galerkin FEM for nonlinear hyperbolic equations
- Uniform superconvergent analysis of a new mixed finite element method for nonlinear bi-wave singular perturbation problem
- Superconvergent analysis of a nonconforming mixed finite element method for non-stationary conduction-convection problem
- Convergence of a linearized second-order BDF-FEM for nonlinear parabolic interface problems
- Superconvergence analysis of two-grid finite element method for nonlinear Benjamin-Bona-Mahony equation
- Survival and ergodicity of a stochastic Holling-III predator-prey model with Markovian switching in an impulsive polluted environment
- New error analysis of a second order BDF scheme for unsteady natural convection problem
- Nonconforming finite element method for a generalized nonlinear Schrödinger equation
- Dynamical analysis for a fractional-order prey-predator model with Holling III type functional response and discontinuous harvest
- Unconditional superconvergence analysis of a linearized Crank-Nicolson Galerkin FEM for generalized Ginzburg-Landau equation
- Superconvergence analysis of a two-grid method for nonlinear hyperbolic equations
- A 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements
- Superconvergence analysis of two-grid methods for bacteria equations
- Convergence and numerical simulations of prey-predator interactions via a meshless method
- A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation
- Prey-predator interactions in two and three species population models
- Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation
- A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media
- Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes
- Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation
- Superconvergence analysis of finite element method for time-fractional thermistor problem
- Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems
- Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations
- Simple nonconforming quadrilateral Stokes element
- P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
- Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes
- Analysis of two‐grid discretization scheme for semilinear hyperbolic equations by mixed finite element methods
- Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation
- Superconvergence analysis for nonlinear reaction‐diffusion equation with BDF‐FEM
- Galerkin Finite Element Methods for Parabolic Problems
- A multilevel finite element method in space‐time for the Navier‐Stokes problem
This page was built for publication: Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model
