Keywords: روش بدون المان; 12; 49Radial basis function; Meshless method; Upwind scheme; Inviscid compressible flow
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Keywords: روش بدون المان; Radial basis functions; Meshless method; Method of approximate particular solutions; Chebyshev interpolation; Fast summation method; Fast method of approximate particular solutions
A Gaussian radial basis function-finite difference technique to simulate the HCIR equation
Keywords: روش بدون المان; 65M70; 91B26; Meshless method; Gaussian RBF; RBF-FD; Heston-Cox-Ingresoll-Ross model; HCIR PDE;
Regularized singular boundary method for 3D potential flow
Keywords: روش بدون المان; Singular boundary method; Origin intensity factor; Meshless method; Regularization technique;
An RBF based meshless method for the distributed order time fractional advection-diffusion equation
Keywords: روش بدون المان; Distributed order; Advection-diffusion equation; Meshless method; RBF;
The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: Application to the heat equation
Keywords: روش بدون المان; Kansas approach; Meshless method; Radial basis functions (RBFs); Group preserving scheme (GPS); Non-regular geometrical domains; Heat equations;
A generalized element-free Galerkin method for Stokes problem
Keywords: روش بدون المان; Meshless method; Moving least squares approximation; Partition of unity method; Element-free Galerkin method; Stokes problem;
The element-free Galerkin method for the nonlinear p-Laplacian equation
Keywords: روش بدون المان; Meshless method; Element-free Galerkin method; P-Laplacian equation; Nonlinear iteration; Convergence;
An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation
Keywords: روش بدون المان; Meshless method; Local radial basis functions (LRBFs) method; Differential quadrature technique; Compressible Euler equation; Proper orthogonal decomposition technique; System of advection-diffusion equations; 65M12; 65N12; 65N30; 65N40;
Solving natural convection heat transfer in turbulent flow by extending the meshless local Petrov-Galerkin method
Keywords: روش بدون المان; Meshless method; MLPG; Natural convection; Turbulent flow; Spalart-Allmaras model;
A novel variational multiscale interpolating element-free Galerkin method for generalized Oseen problems
Keywords: روش بدون المان; Meshless method; Moving Kriging interpolation; Hughes' variational multiscale method; Variational multiscale interpolating element-free Galerkin method; Generalized Oseen problems;
Quick and robust meshless analysis of cracked body with coupled generalized hyperbolic thermo-elasticity formulation
Keywords: روش بدون المان; Meshless method; Coupled thermo-elasticity; Hyperbolic non-Fourier theory; Shock, Lord-Shulman; Transient SIF;
A class of renormalised meshless Laplacians for boundary value problems
Keywords: روش بدون المان; Laplace operator; Laplacian; Meshless method; Mesh-free PDE; Poisson equation;
Meshless and multi-resolution collocation techniques for parabolic interface models
Keywords: روش بدون المان; Haar wavelet; Meshless method; Radial basis functions; Parabolic models; Interface problems;
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains
Keywords: روش بدون المان; Nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) equation; Kansas approach; Meshless method; Radial basis functions (RBFs); Group preserving scheme (GPS); Non-regular geometrical domains;
The approximate solution of nonlinear Volterra integral equations of the second kind using radial basis functions
Keywords: روش بدون المان; Nonlinear Volterra integral equation; Radial basis function; Discrete collocation method; Meshless method; Error analysis;
Solving a class of nonlinear boundary integral equations based on the meshless local discrete Galerkin (MLDG) method
Keywords: روش بدون المان; Nonlinear boundary integral equation; Laplace's equation; Discrete Galerkin method; Moving least squares (MLS) method; Meshless method; Error analysis;
An equivalent continuum meshless approach for material nonlinear analysis of CNT-reinforced composites
Keywords: روش بدون المان; CNT-reinforced composites; Equivalent continuum; Winkler spring model; Meshless method; Van der Waals force; Material nonlinearity;
Interpolating stabilized moving least squares (MLS) approximation for 2D elliptic interface problems
Keywords: روش بدون المان; 82B24; 65L60; Elliptic interface problems; Interpolating stabilized moving least squares approximation; Complex computational domains; Jump boundary conditions; Meshless method;
New least squares method with geometric conservation law (GC-LSM) for compressible flow computation in meshless method
Keywords: روش بدون المان; Meshless method; GC-LSM; Least squares method; Geometric conservation law; AUSMPW+; MUSCL limiters;
Strong-form approach to elasticity: Hybrid finite difference-meshless collocation method (FDMCM)
Keywords: روش بدون المان; Meshless method; Strong form; Cartesian grid embedded; Finite difference method; Discretization Correction Particle Strength Exchange (DC PSE); Elastostatics;
H -adaptive RBF-FD method for the high-dimensional convection-diffusion equation
Keywords: روش بدون المان; Convection-diffusion equation; Meshless method; Radial basis function; H -adaptive method; Influence domain; Node refinement; 68U10; 68U20; 65C20;
A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems
Keywords: روش بدون المان; Meshless method; Interpolating moving least squares method; Variational multiscale method; Convection-diffusion problem; Convection-dominated problem; Stokes problem;
The complex variable meshless local Petrov-Galerkin method for elastodynamic analysis of functionally graded materials
Keywords: روش بدون المان; Meshless method; Complex variable moving least-squares approximation; Complex variable meshless local Petrov-Galerkin method; Functionally graded materials; Elastodynamic analysis;
A numerical mesh-free model for elasto-plastic contact problems
Keywords: روش بدون المان; Elasto-plasticity; Contact; Large deformation; Meshless method; Taylor series expansion; Continuation method;
A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains
Keywords: روش بدون المان; Advection-diffusion-reaction equation; Nonlinear problem; Irregular domain; Meshless method; Radial basis functions;
Variational multiscale element free Galerkin method for natural convection with porous medium flow problems
Keywords: روش بدون المان; Variational multiscale method; Meshless method; Porous medium flow; Natural convection problems;
Stabilization of a meshless method via weighted least squares filtering
Keywords: روش بدون المان; Meshless method; Weighted least squares; Spatial filtering; Computational aeroacoustics; Linearized Euler equations;
Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis
Keywords: روش بدون المان; Regularized long wave (RLW) equation; Meshless method; Interpolating moving least-squares (IMLS) method; Interpolating element-free Galerkin (IEFG) method; Error estimate; Convergence rate;
Research papersConjunction of radial basis function interpolator and artificial intelligence models for time-space modeling of contaminant transport in porous media
Keywords: روش بدون المان; Groundwater; Contaminant transport; Artificial intelligence; Meshless method; Imperialist competitive algorithm;
Meshless modeling of geometrically nonlinear behavior of CNT-reinforced functionally graded composite laminated plates
Keywords: روش بدون المان; Carbon nanotube reinforced functionally graded composites; Geometrically nonlinear analysis; Laminated plates; Meshless method
Local meshless method for PDEs arising from models of wound healing
Keywords: روش بدون المان; Wound healing; Convection-dominated PDEs; Hyperbaric oxygen therapy; Radial basis functions; Upwind technique; Meshless method;
Local RBF method for multi-dimensional partial differential equations
Keywords: روش بدون المان; Meshless method; Convection-diffusion equation; Burgers' equation; Black-Scholes PDE model; Upwind technique; Irregular domains;
The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
Keywords: روش بدون المان; Meshless method; Proper orthogonal decomposition (POD) procedure; Shallow water equations; Radial basis functions (RBF); Local collocation method; Finite difference (FD) method; Local moving Kriging interpolation;
Modeling and simulation of injection molding process of polymer melt by a robust SPH method
Keywords: روش بدون المان; Smoothed particle hydrodynamics; Meshless method; Injection molding; Generalized newtonian fluid; Modeling and simulation;
A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions
Keywords: روش بدون المان; Meshless method; Radial basis functions; Two-dimensional Schrödinger equation; Symplectic integrator;
Meshless method and convergence analysis for 2-dimensional Fredholm integral equation with complex factors
Keywords: روش بدون المان; 65D30; 45D05; 45G102-dimensional Fredholm integral equation; Radial basis function interpolation; Meshless method; Convergence analysis; Complex factors
Finite deformation of single-walled carbon nanocones under axial compression using a temperature-related multiscale quasi-continuum model
Keywords: روش بدون المان; Single-walled carbon nanocones; Multiscale quasi-continuum model; Temperature-related higher-order Cauchy-Born rule; Meshless method; Buckling;
Simulation of two-dimensional sloshing phenomenon by generalized finite difference method
Keywords: روش بدون المان; Sloshing; Generalized finite difference method; Meshless method; Explicit Euler method; Numerical wave tank
Application of weighted-least-square local polynomial approximation to 2D shallow water equation problems
Keywords: روش بدون المان; Shallow water equations; Meshless method; Weighted-least-square; Local polynomial approximation
A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
Keywords: روش بدون المان; Anisotropic problems; Inhomogeneous media; Irregular domain; Meshless method; Radial basis functions
PDE centres enhancement in the Localized Regular Dual Reciprocity Method
Keywords: روش بدون المان; DRM; RBF; Meshless method; Kansa interpolation
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy–Stokes problems
Keywords: روش بدون المان; Stokes problem; Inverse Cauchy–Stokes problem; Meshless method; Pascal triangle; Multiple-scale Pascal polynomial expansion method
Numerical simulation of time-dependent Navier–Stokes and MHD equations using a meshless method based on fundamental and particular solutions
Keywords: روش بدون المان; MFS–MPS; Meshless method; Cavity flows; Navier–Stokes equations; Natural convection; MHD equations
Spatiotemporal groundwater level modeling using hybrid artificial intelligence-meshless method
Keywords: روش بدون المان; Groundwater modeling; Richards' equation; ANN; ANFIS; Meshless method; Wavelet de-noising;
Application of MFS–MPS to the current-hole simulation in a Tokamak
Keywords: روش بدون المان; Meshless method; MFS–MPS; Grad–Shafranov equation; Current-hole; Reduced resistive MHD equations
A numerical study of natural convection in an inclined square enclosure with an elliptic cylinder using variational multiscale element free Galerkin method
Keywords: روش بدون المان; Variational multiscale method; Meshless method; Natural convection; Elliptic cylinder; Square enclosure;
The use of element free Galerkin method based on moving Kriging and radial point interpolation techniques for solving some types of Turing models
Keywords: روش بدون المان; Element free Galerkin (EFG); Moving Kriging interpolation; Radial point interpolation method; Turing system; Meshless method
Error estimates for the moving least-square approximation and the element-free Galerkin method in n-dimensional spaces
Keywords: روش بدون المان; Meshless method; Moving least-square approximation; Element-free Galerkin method; Sobolev space; Error estimate
Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition
Keywords: روش بدون المان; Fractional cable equation; Element free Galerkin; Error estimate; Stability; Convergence; Meshless method; Dirichlet boundary condition