نتایج جستجو برای ' Radial basis functions '

The meshless algorithm is a numerical method which can become adjusted to solve the Fuzzy Fractional Differential equations (FFDE). The method is based on radial basis functions. This paper will define the principle of meshless method and discuss its advantages as well as some necessary concepts of the fuzzy fractional equations . Numerical example is included to demonstrate the efficiency of this method.

The main aim of this study is to obtain numerical solution of functional nonlinear Fredholm integral equations using meshless Radial Basis Function (RBF) interpolation which is based on linear combinations of terms. Applying RBF in functional integral equation, a linear system ψ   C = G will be obtain which by defining coefficients vector C, target function will be approximiated. Finally, validity of the method is illustrated by some examples.

 In this paper, we propose a numerical method which is coupled of the radial basis functions (RBFs) and finite difference scheme for solving time fractional Fokker-Planck equation defined by Caputo sense for (0 < α< 1). It uses the collocation method and approximates the solution using thin plate splines (TPS) RBFs.

 In this article, thin plate splines radial basis function method is presented for solutions of Gilson-Pickering equation. This scheme works in a similar form as finite difference methods and we use collocation points for basis nodes in radial basis function. A numerical example is studied to demonstrate the accuracy and efficiency of the presented method.

In this paper, an efficient iterative method is proposed to approximate the solution of free boundary problems (FBP). This method is based on hybrid of the radial basis function (RBF) collocation and finite difference (FD) methods. Finally, a numerical example is given to illustrate the good performance of the new method.

 In this paper, a new boundary element analysis for two-dimensional (2D) transient elastodynamic problems is proposed. The dual reciprocity method (DRM) is reconsidered by employing new radial basis functions (RBFs) to approximate the domain inertia terms. These new RBFs, which are in the form of ζ+κ sin (ωr+α), are called Fourier RBFs hereafter. Using the method of variation of parameters, the particular solution kernels of Fourier RBFs corresponding t...

 Radial basis functions are a very accurate means of solving interpolation and partial differential equations problems. The global radial basis functions collocation technique produces ill-conditioning matrices when using multiquadrics, making the choice of the shape parameter a crucial issue. The use of local numerical schemes, such as finite differences produces much better conditioned matrices. However, finite difference schemes are limited to special grids. For scattered points, a combi...

 In this paper the method of fundamental solutions (MFS) and the method of particular solution (MPS) are combined as a one-stage approach to solve the Cauchy problem for Poisson's equation. The main idea is to approximate the solution of Poisson's equation using a linear combination of fundamental solutions and radial basis functions. As a result, we provide a direct and effective meshless method for solving inverse problems with inhomogeneous terms. Numerical results in 2D and 3D s...

 We propose a numerical method to compute the survival (first-passage) probability density function in jump-diffusion models. This function is obtained by numerical approximation of the associated Fokker–Planck partial integro-differential equation, with suitable boundary conditions and delta initial condition. In order to obtain an accurate numerical solution, the singularity of the Dirac delta function is removed using a change of variables based on the fundamental solution of the p...

 In this paper, three kinds of explicit local meshless methods are compared: the local method of approximate particular solutions (LMAPS), the local direct radial basis function collocation method (LDRBFCM) which are both first presented in this paper, and the local indirect radial basis function collocation method (LIRBFCM). In all three methods, the time discretization is performed in explicit way, the multiquadric radial basis functions (RBFs) are used to interpolate either initial tempe...