Results 61 to 70 of about 3,942 (181)

Talbot effect for dispersion in linear optical fibers and a wavelet approach

, 2005
We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are ...
Cabrera, H., Murguia, J. S., Rosu, H. C., Trevino, J. P.   +3 more
core   +1 more source

A new Legendre wavelets decomposition method for solving PDEs

Malaya Journal of Matematik, 2014
In this paper, we present a novel technique based on the Legendre wavelets decomposition. The properties of Legendre wavelets are used to reduces the PDEs problem into the solution of ODEs system. To illustrate our results, two examples are studied using a special software package which implements the proposed algorithms.
Naima Ablaoui-Lahmar, Omar Belhamiti, Sidi Mohammed Bahri   +2 more
openaire   +1 more source

An Extended Legendre Wavelet Method for Solving Differential Equations with Non-Analytic Solutions

Journal of Mathematical Extension, 2014
. Although spectral methods such as Galerkin and Tau methods do not work well for solving ordinary differential equations in which, at least, one of the coefficient functions or solution function is not analytic [1], but it is shown that the Legendre ...
F. Mohammadi
doaj  

Slepian functions and their use in signal estimation and spectral analysis

, 2009
It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurement and computation unavoidably bandlimits our observation and modeling ...
A Albertella, A Amirbekyan, A Hanssen, A Messiah, A Schuster, AD Chave, AR Edmonds, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, D Slepian, DA Varshalovich, DB Percival, DJ Thomson, DJ Thomson, DJ Wingham, DL Donoho, DR Cox, E Hivon, EN Gilbert, FA Dahlen, FA Dahlen, FJ Simons, FJ Simons, FJ Simons, G Hinshaw, GD Villiers de, HJ Landau, HJ Landau, HJ Landau, I Daubechies, I Daubechies, I Daubechies, I Daubechies, JR Bond, JS Bendat, K Yao, KS Riedel, L Cohen, L Knox, LP Grishchuk, M Tegmark, M Tegmark, MA Wieczorek, MA Wieczorek, MG Hauser, MZ Nashed, N Sneeuw, P Flandrin, P Xu, P Xu, PJE Peebles, RC Aster, RH Jones, S Mallat, S-C Han, SP Oh, TP Bronez, W Freeden, W Freeden, W Menke, WM Kaula, Y Shkolnisky   +64 more
core   +1 more source

A new operational matrix based on Bernoulli polynomials [PDF]

, 2014
In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S., Parand, K., Rad, J. A., Shaban, M.   +3 more
core  

Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]

Mathematics and Computational Sciences
The presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
doaj   +1 more source

A numerical computation for solving delay and neutral differential equations based on a new modification to the Legendre wavelet method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The goal of this study is to use our suggested generalized Legendre wavelet method to solve delay and equations of neutral differential form with pro-portionate delays of different orders.
N.M. El-Shazly, M.A Ramadan
doaj   +1 more source

Two reliable computational methods pertaining to steady state substrate concentration of an immobilized enzyme system

Alexandria Engineering Journal, 2018
A mathematical model of an immobilized enzyme system with Michaelis-Menten mechanism for an irreversible reaction is discussed. The model is developed on the basis of diffusion equations containing a nonlinear term related to Michaelis-Menten (M-M ...
M. Salai Mathi Selvi, G. Hariharan, K. Kannan, M.H. Heydari   +3 more
doaj   +1 more source

The Simultaneous Interpolation of Target Radar Cross Section in Both the Spatial and Frequency Domains by Means of Legendre Wavelets Model-Based Parameter Estimation

International Journal of Aerospace Engineering, 2015
The understanding of the target radar cross section (RCS) is significant for target identification and for radar designing and optimization. In this paper, a numerical algorithm for calculating target RCS is presented which is based on Legendre wavelet ...
Yongqiang Yang, Yunpeng Ma, Lifeng Wang
doaj   +1 more source

A numerical study on fractional order financial system with chaotic and Lyapunov stability analysis

Results in Physics
In the last few decades, academic research has focused more on financial problems and poverty levels. These are among the two major challenges of the modern world today. To understand the challenge of financial crisis and poverty in societies. This paper
Khushbu Agrawal, Sunil Kumar, Badr S.T. Alkahtani, Sara S. Alzaid   +3 more
doaj   +1 more source