A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in the multi-dimensional case

Theoretical approximation of solutions to ordinary differential equations (34A45) 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)

Cites Work

Unnamed Item
The improved element-free Galerkin method for three-dimensional wave equation
A meshless method for two-dimensional diffusion equation with an integral condition
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
A local Petrov-Galerkin approach with moving Kriging interpolation for solving transient heat conduction problems
MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions
Imposing essential boundary conditions in mesh-free methods
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
A local meshless method for time fractional nonlinear diffusion wave equation
Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
Boundary locking induced by penalty enforcement of essential boundary conditions in mesh-free methods
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
On boundary conditions in the element-free Galerkin method
Element-free Galerkin methods in combination with finite element approaches
Enforcement of essential boundary conditions in meshless approximations using finite elements
Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
Element-free Galerkin method for wave propagation and dynamic fracture.
Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation
The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials
A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
Analysis of thin plates by the element-free Galerkin method
A coupled finite element -- element-free Galerkin method
Finite element derivative recovery by moving least square interpolants
Implementation of boundary conditions for meshless methods
The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow
Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
Numerical solution of transient heat conduction problems using improved meshless local Petrov-Galerkin method
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains
Numerical simulation of fractional evolution model arising in viscoelastic mechanics
A meshless local collocation method for time fractional diffusion wave equation
A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model
A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients
Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
A comparison of numerical integration rules for the meshless local Petrov-Galerkin method
A local integral equation formulation to solve coupled nonlinear reaction-diffusion equations by using moving least square approximation
Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations
Imposition of essential boundary conditions by displacement constraint equations in meshless methods
A greedy meshless local Petrov-Galerkin methodbased on radial basis functions
On generalized moving least squares and diffuse derivatives
DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation
Element‐free Galerkin methods
Smoothed Particle Hydrodynamics
A 2-D meshless model for jointed rock structures
Moving kriging interpolation and element-free Galerkin method
Meshless Methods and Their Numerical Properties