[PDF] Top 20 Stable Gaussian radial basis function method for solving Helmholtz equations
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Stable Gaussian radial basis function method for solving Helmholtz equations
... Abstract Radial basis functions (RBFs) are a powerful method for obtaining the numerical solution of high-dimensional ...meshfree method and the spectrally accurate can be achieved by ...new ... See full document
14
Radial basis function based meshless methods for fluid flow problems
... water equations (Wong et ...RBF method. In comparison the symmetric method is well- posed and the non-singularity of the coefficient matrix has been proved in Wu ...of basis functions based on ... See full document
161
Using 1D-IRBFN method for solving high-order nonlinear differential equations arising in models of active-dissipative systems
... proximations for the field variables in a problem. This approach was called integrated radial basis function networks or IRBFN. Although RBF methods can be easily implemented in a truly meshless ... See full document
8
Numerical solution of differential equations using multiquadric radial basis function networks
... dierential equations (DEs) through the process of ...model equations based on established physical laws may be constructed, analytical tools are frequently inadequate for the purpose of obtaining their ... See full document
38
Collocation Method using Compactly Supported Radial Basis Function for Solving Volterra's Population Model
... meshfree method for solving the differential equations [15, ...global radial basis functions such as Gaussian, Multi quadric, Thin plate spline, Inverse multiqudric and etc was ... See full document
10
On the optimal shape parameter for Gaussian radial basis function finite difference approximation of the Poisson equation
... We consider the Dirichlet problem for the Poisson equation in 2D with a smooth solution. RBF-FD discretisation is obtained using the centres of several uniformly re- fined triangulations to allow direct comparison with ... See full document
29
A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains
... (DRBFN) method, Mai-Duy and Tran-Cong [18,20] proposed using integration to construct the RBFN expressions (the indirect/integrated RBFN (IRBFN) method) for the approximation of a function and its ... See full document
32
Solving high-order partial differential equations with indirect radial basis function networks
... numerical method based on radial basis function net- works (RBFNs) for solving high-order partial differential equations ...governing equations are represented by inte- ... See full document
38
Numerical Solution of Sixth Order Differential Equations Arising in Astrophysics by Neural Network
... a method to solve first order differential equation using Hopfield neural network ...differential equations using Splines and feed forward neural ...for solving ordinary and partial differential ... See full document
6
Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... the radial basis functions (RBFs) method has become known as a powerful tool for the scattered data interpolation prob- ...of radial basis functions is that they involve a single ... See full document
24
Operculum Movement and Microanatomy Skin Structure of Periophthalmodon Schlosseri in Estuary of Barito River
... telegraph equations [1], electrical engineering [2], electro- chemical process, heat and mass transfer [3] electromagnetic and electrodynamic [4] molecular physics, fluid mechanic, Consolidation equation, ... See full document
7
Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions
... on radial basis functions (RBFs) is a space dimension independent method and a powerful interpolation ...difference equations. There are some works based on radial basis ... See full document
8
A RADIAL BASIS FUNCTION PARTITION OF UNITY METHOD FOR TRANSPORT ON THE SPHERE
... Mathematical modeling of climate and weather often requires the numerical solution of partial differential equations (PDEs) on the surface of the sphere. Several challenges arise in solving these problems. ... See full document
75
A symmetric integrated radial basis function method for solving differential equations
... values of β. One can bypass this issue by using extended precision in computation. In [37], numerical investigations indicated that the condition number of the conversion matrix grows much faster than that of the final ... See full document
40
Solving Helmholtz Equation by Meshless Radial Basis Functions Method
... with radial basis functions (RBFs) which was first proposed by Kansa [13] in 1990 are powerful tools in multi-variable ...differential equations which include the Helmholtz equation of ... See full document
17
An efficient indirect RBFN-based method for numerical solution of PDEs
... difference method (FDM) (cf. [2]), the finite element method (FEM) ...volume method (FVM) (cf. [4]) and the boundary element method (BEM) ...Each method has some advantages over the ... See full document
35
Numerical solution of Fokker-Planck equation using the integral radial basis function networks
... Recently, Radial basis functions (RBFs) have emerged as a powerful numerical tool for solving partial differential equations and this paper reports an integrated RBFs (IRBFs) based numerical ... See full document
9
Solving high order ordinary differential equations with radial basis function networks
... collocation method, the original function and its derivatives are all ex- pressed as linear combinations of basis functions, which are associated with the same set of network ...new basis ... See full document
53
Expanding the Tanh Function Method for Solving Nonlinear Equations
... tanh-function method to obtain exact solutions for nonlinear evolution and wave ...tanh-function method is using an independent variable to turn the nonlinear PDEs into other nonlinear ... See full document
9
C2-Element radial basis function methods for some continuum mechanics problems
... proposed method is further verified through the simulation of steady recir- culating flow in an equilateral triangle ...difference method (FDM) was employed and the equilateral triangle had to be ... See full document
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