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...

In the present paper, a solution for the boundary value problem over a semi-infinite interval has been obtained by transforming the two-dimensional laminar boundary equations into a nonlinear ordinary equation using similarity variables. Moreover, a collocation method is proposed to solve the Falkner-Skan equation. This method is based on rational Legendre functions and convert the Falkner-Skan...

We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions P−μ ν and Q −μ ν of degrees 0 ≤ ν ≤ 1, 000, 000 and orders −ν ≤ μ ≤ ν on the interval (−1, 1). Our algorithm, which runs in time independent of ν and μ, is based on the fact that while the associated Legendre functions themselves are extremely expensive to represent via polynomial expan...

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...

In this paper, we present a new blind digital image watermarking method. We introduce interval wavelet decomposition, which is a combination of a discrete wavelet transform and interval arithmetic, and we examine its properties. According to our experimental results, this combination is a good way to produce a kind of redundancy from the original image and to develop new watermarking methods. T...

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.