A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

In this paper, a compact 5-point stencil for the discretisation of second-order partial
differential equations (PDEs) in two space dimensions is proposed. We employ integrated …

This paper presents a new compact approximation method for the discretisation of second-
order elliptic equations in one and two dimensions. The problem domain, which can be …

This paper reports a new discretisation technique for the streamfunction-vorticity-
temperature ($\psi-\omega-T $) formulation governing natural convection defined in 2D …

It is essential to study the behaviour of soot particles in the engine cylinder, including
movement and physical properties during engine operation, for further analysis of …

Soot formation and distribution inside the cylinder of a light-duty direct injection diesel
engine, have been predicted using Kiva-3v CFD software. Pathlines of soot particles traced …

In this work we present an efficient and accurate implementation of the LRDRM. This integral
domain decomposition method exploits two advantages: first, it imposes the boundary …

In this paper a non-overlapping non-iterative multi-domain formulation for the control volume
Hermite radial basis functions (CV-HRBF) method is proposed, where the local Hermitian …

Abstract An efficient accurate Local Method of Approximate Particular Solutions (LMAPS)
using Multiquadric Radial Basis Functions (RBFs) for solving convection–diffusion problems …

This work presents a numerical study of the influence of different boundary conditions (BC)
on the precision of the method of approximate particular solutions (MAPS) with radial basis …