Based on the radial basis function (RBF), nonsingular general solution, and dual reciprocity method (DRM), this paper presents an inherently meshless, integration-free, boundaryonly RBF collocation technique for numerical solution of various partial differential equation systems. The basic ideas behind this methodology are very mathematically simple. In this study, the RBFs are employed to appr...

Level set methods have become an attractive design tool in shape and topology optimization for obtaining lighter and more efficient structures. In this paper, the popular Radial Basis Functions (RBFs) in scattered data fitting and function approximation are incorporated into the conventional level set methods to construct a more efficient approach for structural topology optimization. RBF impli...

In this paper, natural heat convection inside square and equilateral triangular cavities was studied using a meshless method based on collocation local radial basis function (RBF). The nanofluids used were Cu-water or -water mixture with nanoparticle volume fractions range of . A system continuity, momentum, energy partial differential equations in modeling the flow temperature behavior fluids....

In recent years, a variety of meshless methods have been developed to solve partial differential equations in complex domains. Meshless discretize the over scattered points instead grids. Radial basis functions (RBFs) popularly used as high accuracy interpolants function values at locations. this paper, we apply polyharmonic splines (PHS) RBF together with appended polynomial and heat conductio...

The one-dimensional shallow water equations (SWEs), coupled with bed load (Exner equation) were solved in this paper for the numerical simulation of sediment transport problem. By using an efficient meshless method based on radial basis function (RBF) that approximates unknown variables a set collocation nodes and Runge–Kutta fourth-order scheme to approximate temporal derivative. Besides, arti...

A large-eddy simulation (LES) based meshless model is developed for the three-dimensional (3D) problem of continuous casting (CC) steel billet. The local collocation method on radial basis functions (RBF) applied in 3D. applies scaled multiquadric (MQ) RBF with a shape parameter seven nodded sub-domains. incompressible turbulent fluid flow described using mass, energy, and momentum conservation...

the importance and howness of language learning/ acquisition has been a great concern for decades. there are many factors that play important roles in this regard. this research compared the performance of native persian and english elementary students to see if there is any significant difference between the two groups and which type of collocation they performed better within the groups. for ...