In this study, an efficient meshfree numerical method is introduced for solving the nonlinear
boundary value problems. The method of fundamental solutions (MFS) is one of the most …

This paper expands the method of fundamental solutions (MFS) to solve the anti-plane crack
problems based on the traditional fundamental solution by the conformal mapping technique …

The null-field method (NFM) and the method of auxiliary sources (MAS) have been both
used extensively for the numerical solution of boundary-value problems arising in diverse …

The double-porosity saturated medium is widespread in the Earth's crust, rocks and man-
made materials. In this paper, we developed the indirect boundary integral equation method …

In this paper, we propose a new geometric model that includes a fourth-order partial
differential equation (PDE) for reconstructing 2D curves. For instance, we use this model to …

A convenient approach to derive simple expressions for properties of Stokes flows with low
levels of slip is presented. The method is based on a series expansion of a Stokes-flow …

This paper proposes a simple, accurate and effective empirical formula to determine the
number of supporting nodes in a newly-developed method, the localized method of …

In the realm of fluid dynamics, a curious and counterintuitive phenomenon is Stokes'
paradox. While Stokes equations--used for modeling slow and steady flows--lead to a …

Consider 2D Laplace's equation in a bounded simply-connected domain S, and solve it by
the method of fundamental solutions (MFS). The source nodes must be located outside the …

Some phenomena pertaining to rarefied gases are beyond the reach of traditional fluid
dynamics described, eg, by the Euler or Navier–Stokes–Fourier equations. Therefore we …