The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models
From MaRDI portal
Publication:1654882
DOI10.1016/j.enganabound.2015.10.002zbMath1403.65067OpenAlexW2195073232MaRDI QIDQ1654882
Mostafa Abbaszadeh, Akbar Mohebbi, Mehdi Dehghan
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.10.002
meshless methodTuring systemmoving Kriging interpolationradial point interpolation methodelement free Galerkin (EFG)
Related Items
The numerical solution for the time-fractional inverse problem of diffusion equation, A novel spectral Galerkin/Petrov-Galerkin algorithm for the multi-dimensional space-time fractional advection-diffusion-reaction equations with nonsmooth solutions, A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates, Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system, Numerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction–diffusion systems, A Meshfree Approach Based on Moving Kriging Interpolation for Numerical Solution of Coupled Reaction-Diffusion Problems, Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis, A unified spectral method for FPDEs with two-sided derivatives. I: A fast solver, Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation, Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method, Complex Pattern Formations by Spatial Varying Parameters, Novel high-order compact approach for dynamics of spiral waves in excitable media, Finite difference and spectral collocation methods for the solution of semilinear time fractional convection-reaction-diffusion equations with time delay, An improved meshless algorithm for a kind of fractional cable problem with error estimate, A hybrid generalized interpolated element-free Galerkin method for Stokes problems, Numerical simulation of nonlinear coupled Burgers' equation through meshless radial point interpolation method, An element-free Galerkin meshless method for simulating the behavior of cancer cell invasion of surrounding tissue, An improved boundary point interpolation method for exterior acoustic radiation problem, A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves
- Error estimates for the interpolating moving least-squares method
- Stability and Hopf bifurcation for a three-component reaction-diffusion population model with delay effect
- Optimal variable shape parameter for multiquadric based RBF-FD method
- A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
- A method for solving partial differential equations via radial basis functions: application to the heat equation
- Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems
- Analyzing 2D fracture problems with the improved element-free Galerkin method
- The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
- Numerical simulation of two-dimensional combustion using mesh-free methods
- Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
- Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation
- An improved element-free Galerkin method for numerical modeling of the biological population problems
- A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations
- Turing pattern formation for reaction-convection-diffusion systems in fixed domains submitted to toroidal velocity fields
- A moving Kriging interpolation-based element-free Galerkin method for structural dynamic analysis
- Optimal constant shape parameter for multiquadric based RBF-FD method
- Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
- Development of a novel meshless Local Kriging (LoKriging) method for structural dynamic analysis
- A meshless local moving Kriging method for two-dimensional solids
- Synchronization and control of coupled reaction-diffusion systems of the FitzHugh-Nagumo type
- A numerical method for determining the localized initial condition in the FitzHugh-Nagumo and Aliev-Panfilov models
- A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- The morphostatic limit for a model of skeletal pattern formation in the vertebrate limb
- Integrated multiquadric radial basis function approximation methods
- Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay
- A meshless based method for solution of integral equations
- Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
- A meshless local Kriging method for large deformation analyses
- Meshless local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load
- An error estimate in the EFG method
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- A boundary point interpolation method for stress analysis of solids.
- Meshless methods: An overview and recent developments
- A moving grid finite element method applied to a model biological pattern generator
- Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods
- Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Spatiotemporal dynamics of reaction-diffusion models of interacting populations
- A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity
- Lattice Boltzmann model for the bimolecular autocatalytic reaction-diffusion equation
- The local integral equation method for pattern formation simulations in reaction-diffusion systems
- Adaptive radial basis function methods for time dependent partial differential equations
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- A novel meshless approach -- Local Kriging (LoKriging) method with two-dimensional structural analysis
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- Radial basis function approximation methods with extended precision floating point arithmetic
- Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
- Inverse heat conduction problems by meshless local Petrov-Galerkin method
- Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method
- Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation
- The finite volume spectral element method to solve Turing models in the biological pattern formation
- The improved element-free Galerkin method for two-dimensional elastodynamics problems
- A meshfree method for the solution of two-dimensional cubic nonlinear Schrödinger equation
- On choosing ``optimal shape parameters for RBF approximation
- A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
- Solvability of partial differential equations by meshless kernel methods
- Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids
- The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
- A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains
- A linear system-free Gaussian RBF method for the Gross-Pitaevskii equation on unbounded domains
- On generalized moving least squares and diffuse derivatives
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Kernel techniques: From machine learning to meshless methods
- Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions
- Surfaces Generated by Moving Least Squares Methods
- Local error estimates for radial basis function interpolation of scattered data
- Element‐free Galerkin methods
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Moving kriging interpolation and element-free Galerkin method
- Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition
- High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation
- FURTHER INVESTIGATION OF ELEMENT-FREE GALERKIN METHOD USING MOVING KRIGING INTERPOLATION
- Scattered Data Approximation
- A local point interpolation method for static and dynamic analysis of thin beams
