Keighobadi, Jafar Faraji, Javad Janabi-Sharifi, Farrokh Hamed, Mohammad Ali
Published in
ISA transactions
The main purpose of this paper is design and implementation of a new linear observer for an attitude and heading reference system (AHRS), which includes three-axis accelerometers, gyroscopes, and magnetometers in the presence of sensors and modeling uncertainties. Since the increase of errors over time is the main difficulty of low-cost micro elect...
srivastava, hari m. alomari, abedel-karrem n. saad, khaled m. hamanah, waleed m.
Fractional derivative models involving generalized Mittag-Leffler kernels and opposing models are investigated. We first replace the classical derivative with the GMLK in order to obtain the new fractional-order models (GMLK) with the three parameters that are investigated. We utilize a spectral collocation method based on Legendre’s polynomials fo...
Kuznetsov, D. F.
Published in
Computational Mathematics and Mathematical Physics
AbstractThis paper is devoted to the development and application of the Fourier method to the numerical solution of Ito stochastic differential equations. Fourier series are widely used in various fields of applied mathematics and physics. However, the method of Fourier series as applied to the numerical solution of stochastic differential equation...
Kuznetsov, D. F.
Published in
Computational Mathematics and Mathematical Physics
AbstractThis paper is devoted to the comparative analysis of the efficiency of using the Legendre polynomials and trigonometric functions for the numerical solution of Ito stochastic differential equations under the method of approximating multiple Ito and Stratonovich stochastic integrals based on generalized multiple Fourier series. Using the mul...
Piretzidis, Dimitrios Sideris, Michael G.
Published in
Journal of Geodesy
In this paper, we discuss some methods for the calculation of the Legendre polynomial difference Pn-1(t)-Pn+1(t)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P_{n - 1...
han, cundi chen, yiming liu, da-yan boutat, driss
This paper applies a numerical method of polynomial function approximation to the numerical analysis of variable fractional order viscoelastic rotating beam. First, the governing equation of the viscoelastic rotating beam is established based on the variable fractional model of the viscoelastic material. Second, shifted Bernstein polynomials and Le...
Garmanova, T. A.
Published in
Mathematical Notes
Abstract The paper deals with sharp estimates of derivatives of intermediate order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k\le n-1$$\end{document} in the Sobol...
Santos, E.P.B. Feltes, G.L. Negri, R. Cobuci, J.A. Silva, M.V.G.B.
ABSTRACT The objective of this study was to estimate the components of variance and genetic parameters of test-day milk yield in first lactation Girolando cows, using a random regression model. A total of 126,892 test-day milk yield (TDMY) records of 15,351 first-parity Holstein, Gyr, and Girolando breed cows were used, obtained from the Associação...
Chlebišová, Barbora
Rozložení náboje na povrchu elektrody lze zjistit hledáním vázaného extrému funkce energie elektrostatického pole vzhledem k předepsané celkové hodnotě náboje. Tato úloha je odvozena z metody hraničních prvků. Povrch tělesa nabitého nábojem bude rozdělen do nepřekrývajících se geometrických prvků. Pomocí numerické kvadratury lze spočítat matici ele...
khan, nabiullah aman, mohd usman, talha choi, junesang
A remarkably large of number of polynomials have been presented and studied. Among several important polynomials, Legendre polynomials, Gould-Hopper polynomials, and Sheffer polynomials have been intensively investigated. In this paper, we aim to incorporate the above-referred three polynomials to introduce the Legendre-Gould Hopper-based Sheffer p...
