Keywords: توابع اولیه شعاعی (RBFs); Radial basis functions (RBFs); Multiquadric RBFs method; Shape parameter; Diffusion equations;
مقالات ISI توابع اولیه شعاعی (RBFs) (ترجمه نشده)
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Keywords: توابع اولیه شعاعی (RBFs); Navier-Stokes equations; Local method; Particular solution to Laplace equation; Radial basis functions (RBFs);
Keywords: توابع اولیه شعاعی (RBFs); Dual reciprocity boundary elements method (DRBEM); Stochastic partial differential equations (SPDEs); Radial basis functions (RBFs); Wiener process
Keywords: توابع اولیه شعاعی (RBFs); Sinh-Gordon equation; Nonlinear equation; Kansa׳s approach; Radial basis functions (RBFs); RBF-pseudospectral (PS) approach; Moving least squares (MLS); Meshless methods
Keywords: توابع اولیه شعاعی (RBFs); 65M70; 34A34Time fractional reaction–subdiffusion equation; Convergence analysis; Error estimate; Riemann–Liouville fractional derivative; Meshless Galerkin method; Radial basis functions (RBFs)
Keywords: توابع اولیه شعاعی (RBFs); Local RBF-based differential quadrature method; System of second-order boundary value problems; Radial Basis Functions (RBFs); Multiquadric (MQ); Non-equispaced meshes; Applications;
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: توابع اولیه شعاعی (RBFs); Kansas approach; Meshless method; Radial basis functions (RBFs); Group preserving scheme (GPS); Non-regular geometrical domains; Heat equations;
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains
Keywords: توابع اولیه شعاعی (RBFs); Nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) equation; Kansas approach; Meshless method; Radial basis functions (RBFs); Group preserving scheme (GPS); Non-regular geometrical domains;
Numerical solution of ideal MHD equilibrium via radial basis functions collocation and moving least squares approximation methods
Keywords: توابع اولیه شعاعی (RBFs); Magnetohydrodynamic (MHD); Grad–Shafranov (GS) equation; Radial basis functions (RBFs); Moving least squares (MLS); Meshfree method
Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein–Gordon–Schrödinger (KGS) equations
Keywords: توابع اولیه شعاعی (RBFs); Klein–Gordon–Schrödinger (KGS) equations; Meshless method; Radial basis functions (RBFs); Kansa’s approach; Pseudo-spectral (PS) method; Generalized moving least squares method (GMLS)
The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
Keywords: توابع اولیه شعاعی (RBFs); Coupled sine-Gordon equations; Radial basis functions (RBFs); Collocation method; RBF-QR technique; Gaussian RBF
A meshless technique based on the local radial basis functions collocation method for solving parabolic–parabolic Patlak–Keller–Segel chemotaxis model
Keywords: توابع اولیه شعاعی (RBFs); Keller–Segel model; Nonlinear equation; Kansa׳s approach; Radial basis functions (RBFs); Local collocation meshless method; Patlak–Keller–Segel chemotaxis model
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations
Keywords: توابع اولیه شعاعی (RBFs); Time fractional sine-Gordon equation; Time fractional Klein–Gordon equation; Kansa method; Radial basis functions (RBFs); Unconditional stability; Convergence; Energy method; Non-rectangular domains
The numerical solution of Cahn–Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
Keywords: توابع اولیه شعاعی (RBFs); The Cahn–Hilliard (CH) equation; Radial basis functions (RBFs); RBFs-DQ; Multiquadrics (MQ); Condition number; Parallel computing tool box; Predictor–corrector procedure; Three-dimension
Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations
Keywords: توابع اولیه شعاعی (RBFs); Burgers’ equations; Meshless method; Radial basis functions (RBFs); Local method; Particular solutions
A comparison study of the LMAPS method and the LDQ method for time-dependent problems
Keywords: توابع اولیه شعاعی (RBFs); Radial basis functions (RBFs); LMAPS; Local differential quadrature; Runge-Kutta method;
Analysis of cylindrical shell panels. A meshless solution
Keywords: توابع اولیه شعاعی (RBFs); Meshless Analog Equation Method (MAEM); Radial basis functions (RBFs); Elliptic partial differential equations; Cylindrical shells
The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
Keywords: توابع اولیه شعاعی (RBFs); Time fractional; Nonlinear Schrödinger equation; Kansa method; Radial basis functions (RBFs); Interpolation method; Fractional quantum mechanics; Meshless methods
The solitary wave solution of coupled Klein–Gordon–Zakharov equations via two different numerical methods
Keywords: توابع اولیه شعاعی (RBFs); Differential quadrature method; Klein–Gordon–Zakharov (KGZ) equations; Radial basis functions (RBFs); Inverse Multiquadric (IMQ); Thin Plate Spline (TPS)
A meshless method for solving nonlinear two-dimensional integral equations of the second kind on non-rectangular domains using radial basis functions with error analysis
Keywords: توابع اولیه شعاعی (RBFs); 47H30; 41A25; 41A63Nonlinear integral equation; Two-dimensional integral equation; Radial basis functions (RBFs); Meshless method; Non-rectangular domains; Error analysis
A meshfree level-set method for topological shape optimization of compliant multiphysics actuators
Keywords: توابع اولیه شعاعی (RBFs); Complaint actuators; Topology optimization; Level set methods; Meshless Galerkin method (MGM); Radial basis functions (RBFs)
Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
Keywords: توابع اولیه شعاعی (RBFs); Boundary integral equation (BIE) method; Dual reciprocity method (DRM); Second-order hyperbolic telegraph equation; Radial basis functions (RBFs)
Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation
Keywords: توابع اولیه شعاعی (RBFs); Generalized Kuramoto–Sivashinsky (GKS) equation; Method of lines (MOL); Meshless; Radial basis functions (RBFs)
A computational modeling of the behavior of the two-dimensional reaction–diffusion Brusselator system
Keywords: توابع اولیه شعاعی (RBFs); Two-dimensional reaction–diffusion Brusselator system; Collocation method; Radial basis functions (RBFs); Stability analysis
A mesh-free method for the numerical solution of the KdV–Burgers equation
Keywords: توابع اولیه شعاعی (RBFs); Radial basis functions (RBFs); Kortewege–de Vries–Burgers’ equation (KdVB); Soliton solutions
Approximation to the k-th derivatives by multiquadric quasi-interpolation method
Keywords: توابع اولیه شعاعی (RBFs); Quasi-interpolation; Hardy's multiquadric; Scattered data approximation; Radial basis functions (RBFs); Approximation to derivatives;
A meshfree method for the numerical solution of the RLW equation
Keywords: توابع اولیه شعاعی (RBFs); Regularized long wave (RLW) equation; Solitary wave; Collocation method; Radial basis functions (RBFs); Undular bore