The regularized meshless method is a novel boundary-type meshless method but by now has largely been confined to homogeneous problems. In this paper, we apply the regularized meshless method to the nonhomogeneous problems in conjunction with the dual reciprocity technique in the evaluation of the particular solution. Numerical experiments of three benchmark nonhomogeneous problems demonstrate t...

A stochastic meshless method is presented for solving boundary-value problems in linear elasticity that involves random material properties. The material property was modelled as a homogeneous random eld. A meshless formulation was developed to predict stochastic structural response. Unlike the nite element method, the meshless method requires no structured mesh, since only a scattered set of n...

In this paper we numerically solve a flow model for the micropolar biomagnetic (blood flow) in magnetic field. proposed account both electrical and properties of biofluid investigate role microrotation on regime. The domain is channel with an unsymmetrical single stenosis, irregular multi-stenoses. mathematical consists Navier–Stokes (N–S) equations expressed their velocity–vorticity (u–ω) vari...

The main objective of the current work is to determine meshless methods using radial basis function (rbf) approach estimate elastic strain field from energy-resolved neutron imaging. To this end, we first discretize longitudinal ray transformation with rbf give us an unconstrained optimization problem. This discretization then transformed into a constrained problem by adding equilibrium conditi...

During the last ten years, various meshless techniques have been developed to solve complex boundary value problems. However, there is still not yet an efficient meshless method available for general linear static analysis. The method of finite spheres is a promising meshless technique with respect to efficiency and applicability [1]. In this paper, improvements of the method of finite spheres ...

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...

In this paper we propose a meshfree technique for the numerical solution of the two dimensional Burger’s equation. Collocation method using the Radial Basis Functions (RBFs) is coupled with first order accurate finite difference approximation. Different types of RBFs are used for this purpose. Performance of the proposed method is successfully tested in terms of various error norms. In the case...

This paper proves convergence of variations of the unsymmetric kernel-based collocation method introduced by E. Kansa in 1986. Since then, this method has been very successfully used in many applications, though it may theoretically fail in special situations, and though it had no error bound or convergence proof up to now. Thus it is necessary to add assumptions or to make modifications. Our m...

We present an exponentially convergent semi-implicit meshless algorithm for the solution of Navier-Stokes equations in complex domains. The discretizes partial derivatives at scattered points using radial basis functions (RBF) as interpolants. Higher-order polynomials are appended to polyharmonic splines (PHS-RBF) and a collocation method is used derive interpolation coefficients. interpolating...