The aim of this paper is to describe the development of the method of fundamental solutions
(MFS) and related methods over the last three decades. Several applications of MFS-type …

In this paper we investigate the application of the generalized finite difference method
(GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite …

The application of the method of fundamental solutions to the Cauchy problem for steady-
state heat conduction in two-dimensional functionally graded materials (FGMs) is …

This paper describes an application of the recently proposed modified method of
fundamental solutions (MMFS) to potential flow problems. The solution in two-dimensional …

In this paper, the application of the method of fundamental solutions to the Cauchy problem
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …

Potential-based inverse electrocardiography is a method for the noninvasive computation of
epicardial potentials from measured body surface electrocardiographic data. From the …

This paper makes the first attempt to develop a novel localized collocation scheme based on
fundamental solutions for long-time anomalous heat conduction analysis in functionally …

A new boundary meshfree method, to be called the boundary distributed source (BDS)
method, is presented in this paper that is truly meshfree and easy to implement. The method …

In this paper, the application of the method of fundamental solutions to the Cauchy problem
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …

In this paper we investigate the application of the localized method of fundamental solutions
(LMFS) for solving three-dimensional inhomogeneous elliptic boundary value problems. A …