Results 51 to 60 of about 3,942 (181)
Fourier Eigenfunctions, Uncertainty Gabor Principle and Isoresolution Wavelets [PDF]
, 2015 Shape-invariant signals under Fourier transform are investigated leading to a class of eigenfunctions for the Fourier operator. The classical uncertainty Gabor-Heisenberg principle is revisited and the concept of isoresolution in joint time-frequency ...
H. M. De Oliveira +4 more
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Electronic Journal of Differential Equations, 2015 A numerical method based on Legendre multi-wavelets is applied for solving Lane-Emden equations which form Volterra integro-differential equations. The Lane-Emden equations are converted to Volterra integro-differential equations and then are solved ...
Prakash Kumar Sahu, Santanu Saha Ray
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Numerical Integration Based on Linear Legendre Multi Wavelets
Journal of Physics: Conference Series, 2018 In the present work, a new direct computational method for solving definite integrals based on linear Legendre multi wavelets is introduced. This approach is an improvement of previous methods which are based on Haar wavelets functions. An algorithm using properties of the linear Legendre multi wavelets is developed in order to find numerical ...
Mohammad Hasan Abdul Sathar +3 more
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Alexandria Engineering Journal, 2022 In this article, a wavelet collocation method based on linear Legendre multi-wavelets is proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra and Volterra–Fredholm integro-differential equations.
Imran Khan +4 more
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Spatiospectral concentration in the Cartesian plane
, 2011 We pose and solve the analogue of Slepian's time-frequency concentration problem in the two-dimensional plane, for applications in the natural sciences.
Simons, Frederik J., Wang, Dong V.
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Legendre Wavelets with Scaling in Time-delay Systems
Statistics, Optimization & Information Computing, 2019 This research presents the integration, product, delay and inverse time operational matrices of Legendre wavelets with an arbitrary scaling parameter and illustrates how to design this parameter in order to improve their accuracy and capability in handling optimal control and analysis of time-delay systems.
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A Novel Technique for Predicting the Thermal Behavior of Stratospheric Balloon
International Journal of Aerospace Engineering, 2018 This paper is devoted to introduce a novel method of the operational matrix of integration for Legendre wavelets in order to predict the thermal behavior of stratospheric balloons on float at high altitude in the stratosphere.
Yunpeng Ma, Jun Huang, Mingxu Yi
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Application of Legendre wavelets for solving fractional differential equations
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafari, H. +4 more
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SOLUTION OF HIGHER ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY LEGENDRE WAVELETS [PDF]
International Journal of Apllied Mathematics, 2015 The numerical solution of \(m\)th-order nonlinear Volterra integro-differential equations with two-point boundary conditions is obtained by using a collocation method based on the Legendre wavelets. The collocation points are the zeros of the Chebyshev polynomials and the Gaussian integration formula is applied.
Chandel, Raghvendra S. +2 more
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Nonlinear Integro-Differential Equations
Journal of Mathematical Extension, 2010 . In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation.
S. Mahdavi∗, M. Tavassoli Kajani
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