Results 21 to 30 of about 3,942 (181)
Alexandria Engineering Journal, 2020 In this article, a new collocation technique for numerical solution of Fredholm, Volterra and mixed Volterra-Fredholm integral equations of the second kind is introduced and also developed a numerical integration formula on the basis of linear Legendre ...
Muhammad Asif +3 more
doaj +1 more source
Exact reconstruction with directional wavelets on the sphere [PDF]
, 2007 A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of the wavelet formalism developed by Antoine & Vandergheynst (1999) and Wiaux et al. (2005).
Abramowitz +60 more
core +2 more sources
Journal of Applied Mathematics, 2012 A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational ...
Fukang Yin +3 more
doaj +1 more source
Estimates of Approximation Error by Legendre Wavelet
Applied Mathematics, 2016 This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces and by norms and , respectively. These estimate results are valuable to solve integral-differential equations by Legendre wavelet method.
Xiaoyang Zheng, Zhengyuan Wei
openaire +2 more sources
Detection of the ISW effect and corresponding dark energy constraints made with directional spherical wavelets [PDF]
, 2006 Using a directional spherical wavelet analysis we detect the integrated Sachs-Wolfe (ISW) effect, indicated by a positive correlation between the first-year Wilkinson Microwave Anisotropy Probe (WMAP) and NRAO VLA Sky Survey (NVSS) data.
A. N. Lasenby +6 more
core +3 more sources
Complexity, 2021 In this study, we apply the pseudospectral method based on Müntz–Legendre wavelets to solve the multiorder fractional differential equations with Caputo fractional derivative.
Haifa Bin Jebreen, Fairouz Tchier
doaj +1 more source
Legendre approximation solution for a class of higher-order Volterra integro-differential equations
Ain Shams Engineering Journal, 2012 The aim of this work is to study the Legendre wavelets for the solution of boundary value problems for a class of higher order Volterra integro-differential equations using function approximation.
S.G. Venkatesh +2 more
doaj +1 more source
Generalized Wavelet Transform Associated with Legendre Polynomials
International Journal of Computer Applications, 2014 convolution structure for the Legendre transform developed by Gegenbauer is exploited to define Legendre translation by means of which a new wavelet and wavelet transform involving Legendre Polynomials is defined.
Rajesh Kumar +2 more
openaire +1 more source
Scale-discretised ridgelet transform on the sphere [PDF]
, 2019 We revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere. Viewing the spherical Radon transform in this manner leads to a straightforward derivation of its spherical harmonic ...
candes +12 more
core +2 more sources
Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
Journal of Applied Mathematics, 2012 The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the
M. H. Heydari +3 more
doaj +1 more source