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 …

In this paper we combine the method of fundamental solutions with various regularization
techniques to solve Cauchy problems of elliptic differential operators. The main idea is to …

This paper introduces a novel localized collocation Trefftz method (LCTM) for potential-
based inverse electromyography (PIE). PIE is a noninvasive technique to calculate the …

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 …

We discuss sixth order accurate 9-point compact 2-and 3-phase block alternating group
explicit (block-AGE) iteration methods for computing 2D Helmholtz equation. We use …

The study deals with the heat and mass transfer process near the dynamic three-phase
liquid–gas–solid contact line. The evaporating sessile water droplets on a horizontal heated …

In this paper, an iterative algorithm based on the Landweber method in combination with the
Boundary Element Method (BEM) is developed for solving the Cauchy problem for …

In this paper, the Cauchy problem of inhomogeneous Helmholtz equation is investigated.
This problem is ill-posed and the truncation method is used to solve this inverse problem …

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

We investigate the continuation problem for the elliptic equation. The continuation problem
is formulated in operator form. The singular values of the operator A are presented and …