in this paper, a numerical efficient method is proposed for the solution of time fractionalmobile/immobile equation. the fractional derivative of equation is described in the caputosense. the proposed method is based on a finite difference scheme in time and legendrespectral method in space. in this approach the time fractional derivative of mentioned equationis approximated by a scheme of order o...

<p style='text-indent:20px;'>Caputo derivative operational matrices of the arbitrary scaled Legendre and Chebyshev wavelets are introduced by deriving directly from these wavelets. The Caputo used in quadratic optimization systems having fractional or integer orders differential equations. Using matrices, a new programming wavelet-based method without doing any integration operation for f...

In this work, Laplace transform-Legendre-wavelet collocation method is adopted for a semi-numerical analysis of predicting transient nonlinear behaviour radiative-convective fin with temperature-variant internal heat generation. The verification the results hybrid shown good agreements direct numerical and approximate analytical s in previous works. Parametric depicts significance model paramet...

A directional spherical wavelet analysis is performed to examine the Gaussianity of the WMAP 1-year data. Such an analysis is facilitated by the introduction of a fast directional continuous spherical wavelet transform. The directional nature of the analysis allows one to probe orientated structure in the data. Significant deviations from Gaussianity are detected in the skewness and kurtosis of...

In this paper, a new stochastic operational matrix for the Legendre wavelets is presented and a general procedure for forming this matrix is given. A computational method based on this stochastic operational matrix is proposed for solving stochastic Itô-Voltera integral equations. Convergence and error analysis of the Legendre wavelets basis are investigated. To reveal the accuracy and efficien...

Both weighted spherical harmonics (SPHARM) and spherical wavelets (SW) have been used for local shape representation of biological structures. In this paper, we shed light on the underlying connections between weighted SPHARM and SW. A novel derivation of SW from weighted SPHARM and a detailed formulation of wavelet transformation for shape representation are presented. Their performances on lo...

We investigate the Gaussianity of the 4-year COBE-DMR data (in HEALPix pixelisation) using an analysis based on spherical Haar wavelets. We use all the pixels lying outside the Galactic cut and compute the skewness, kurtosis and scale-scale correlation spectra for the wavelet coefficients at each scale. We also take into account the sensitivity of the method to the orientation of the input sign...

1. Natanson I. P.(1949), Constructive Function Theory, Gosudarstvennoe Izdatel’stvo Tehniko-Teoreticeskoi Literatury, Moscow . 2. Chui C. K.(1992), An Introduction to wavelets(Wavelet analysis and its applications), Vol. 1, Academic Press, USA. 3. Daubechies I.(1992) ,”Ten Lectures on Wavelets” SIAM, Philadelphia. 4. Meyer Y.(1993), (Toulouse (1992))(Meyer Y. and Roques S.,eds.), Frontiers, vet...

this paper gives an ecient numerical method for solving the nonlinear systemof volterra-fredholm integral equations. a legendre-spectral method based onthe legendre integration gauss points and lagrange interpolation is proposedto convert the nonlinear integral equations to a nonlinear system of equationswhere the solution leads to the values of unknown functions at collocationpoints.

Accepted 4 April 2008 Copyright © EEF ISSN 1399-1183 Species distributional models based on lattice data often display spatial autocorrelation. Spatial autocorrelation means that observations from nearby locations are often more similar than would be expected on a random basis (Legendre and Legendre 1998). Spatial autocorrelation can arise in both species distributions and environmental variabl...