Abstract An efficient Monte Carlo simulation (MCS) method that analyses the influences of
multivariate uncertain parameters on the response of cracked structures is proposed. The …

The radial basis function partition of unity (RBF-PU) method is used to solve various types of
partial differential equations, since it is based on scattered node sets that can be easily …

This paper aims to systematically assess the local radial basis function collocation method,
structured with multiquadrics (MQs) and polyharmonic splines (PHSs), for solving steady …

In this paper, we develop a compact direct radial basis function partition of unity (D-RBF-PU)
method for parabolic equations on closed surfaces. The new method involves partitioning …

A semi-Lagrangian radial basis function partition of unity (RBF-PU) closest point method is
designed for solving advection-diffusion equations on surfaces. This new meshfree method …

In this paper, we design a new framework of direct radial basis function partition of unity (D-
RBF-PU) method to solve parabolic equation on surface with and without boundary. Resort …

In this work, we use the combination of radial basis functions (RBFs) and polynomials to
derive compact finite difference (FD) formulas. We use RBFs and integrated RBFs (IRBFs) …

In this study, we develop a nine-point compact difference scheme in exponential form to
solve two-dimensional second-order quasi-linear parabolic equations with Dirichlet …

The present work extends a previous paper where an agent-based and two-dimensional
partial differential diffusion model was introduced for describing immune cell dynamics …

In various scientific and engineering domains, the prediction of soil water infiltration and fluid
flow in unsaturated soils are significant issues. In addition, the unsaturated zone is the …