Ways to improve Fourier series convergence and its application for Laplace numerical inversion
Journal Title: Вісник Тернопільського національного технічного університету - Year 2016, Vol 81, Issue 1
Abstract
The solution of a wide class of the problems of mathematical physics can be obtained in the form of Fourier series. When considering the problems, concerned with study of the localized actions, the quickchanging solutions are obtained, in this connection the series converge slowly. To solve complex problems the Fourier series method is used jointly with other approaches, in particular, when using in addition the boundary element method the series coefficients are determined by solving one- and two-dimensional integral equations that demands a large amount of calculations. The series coefficients are determined with certain errors what can cause the loss of calculation accuracy. In such cases the problem of improvement the series convergence with controlled accuracy of calculations will be of high priority. Below we propose method of improving the Fourier series convergence for functions which can be approximated with sufficiently high accuracy by the least squares method by means of the first degree piecewise-continuous polynomials on whole interval of series specifying
Authors and Affiliations
Tetyana Solyar
Keywords
Related Articles
- EP ID EP257530
- DOI -
- Views 53
- Downloads 0
Interrelation and kinetics of matersals fatigue damage under strain- and stress-control loading modes
In the article the calculating estimation of fatigue damage and plasto-elastic stress-strain state (SSS) kinetics of steels under the “rigid” cyclic loading modes using the ultimate exhaustion of cyclic plasticity (UECP)...
Experimental research of deflected mode of corrugated metal structures of railway track
In the paper the scientific principles of a new device for the measurement and evaluation of the stress-strain state of transportation facilities under changing temperatures and loads have been developed. The technical p...
Integral equations for an thermoelastic anisotropic bimaterial with high temperature-conducting coherent interface
This paper studies the problem of an thermoelastic anisotropic bimaterial with highly conducting interface containing thin inclusions. Using the modified boundary element approach, the extended Stroh formalism and comple...
Theoretical analysis of thermal conditions and ways of led temperature stabilization
Thermoelectric model of a light diode was built with a spacial separation of the heat and cold source. The differential equations system was solved, which comprises the stationary equation of the heat-conductivity and th...
Thermo-mechanical criterion of generation of wear particles for volumetric stress
The model of friction and wear surfaces is constructed based on theory of mechanical frictional interaction. The state of stress and kind of the surface layers fracture is analyzed. Longevity of mobile connections is est...