The Trefftz method is understood as an approximate method for solving boundary value
problems in which the approximate solution is a linear combination of trial functions …

This study presents a semi-analytical boundary-only collocation technique for solving multi-
term time-fractional diffusion-wave equations. In the present collocation technique, the …

The paper shows the results for flow boiling heat transfer in a 1.7 mm deep minichannel
vertically oriented with FC-72 Fluorinert as a working fluid. The heated wall of the …

In this paper, two-phase inverse Stefan problem are investigated using the method of heat
polynomials. The approximate solution of the problem is presented in the form of linear …

The intensification of heat transfer using two-phase boiling flow in mini-channels is widely
used to dissipate the high heat fluxes in miniaturized electronic devices. However, the …

This paper presents a concept of solving the inverse heat conduction problem with the use
of a linear combination of functions satisfying the differential equation in terms of identity …

The subject of this paper was to develop a mathematical model of a non-contacting face seal
describing the phenomenon of the heat transfer in the system: sealing rings–fluid film. The …

The experimental purpose of the study was to simultaneously measure and record two-
dimensional temperature distributions on the heating surface and the images of the …

Purpose The purpose of this paper is to present the method for solving the inverse Cauchy-
type problem for the Laplace's equation. Calculations were made for the rectangular domain …

Purpose This paper aims to focus on flow boiling heat transfer in an asymmetrically heated
minichannel. Two-dimensional inverse heat transfer problem was solved using the Trefftz …