The spatial distribution of precipitation is one the most important climatic variables used in geographic and environmental studies. However, when there a lack full coverage meteorological stations, estimations are necessary to interpolate for larger areas. purpose this research was find best interpolation method mapping partly densely populated Khorasan Razavi province northeastern Iran. To ac...

This paper presents a methodology based on the collocation multiquadric radial basis functions to analyze the static and dynamic behavior of isotropic rectangular plates. The inertia and dissipative terms are evaluated by employing Newmark implicit time marching scheme. The spatial discretization of the differential equations generates greater number of algebraic equations than the unknown coef...

ii Preface Radial Basis Function (RBF) methods have become the primary tool for interpolating multidimensional scattered data. RBF methods also have become important tools for solving Partial Differential Equations (PDEs) in complexly shaped domains. Classical methods for the numerical solution of PDEs (finite difference, finite element, finite volume, and pseudospectral methods) are based on p...

K e y w o r d s E l l i p t i c PDEs, Generalized multiquadries, Different shape parameters. 1. I N T R O D U C T I O N The interest in meshfree methods to solve PDEs has grown considerably in the past 15 years. The two principal reasons are: (1) mesh generation over twoand three-dimensional complicated domains may require weeks or months to produce a well-behaved mesh, and (2) the convergence ...

This paper presents mesh-free procedures for solving linear differential equations (ODEs and elliptic PDEs) based on multiquadric (MQ) radial basis function networks (RBFNs). Based on our study of approximation of function and its derivatives using RBFNs that was reported in an earlier paper (Mai-Duy, N. & Tran-Cong, T. (1999). Approximation of function and its derivatives using radial basis fu...