This paper introduces a wavelet-based linearization method to estimate the single-degree-of-freedom (SDOF) nonlinear system response based on the traditional equivalent linearization technique. The mechanism by which the signal is decomposed and reconstructed using the wavelet transform is investigated. Since the wavelet analysis can capture temporal variations in the time and frequency content...

In this paper an efficient unconditionally stable numerical scheme is proposed for solving one dimensional quasi linear Burgers’ equation. The proposed scheme comprises of semi discretization via method of lines for the space variable and backward differentiation formula of order two (BDF2) for the time variable. The method of lines reduces the quasi linear partial differential equation in to n...

In this paper, a modified orthogonal linear spline (OL-spline) is used for the numerical solution of coupled nonlinear inverse reaction-diffusion problem to determine unknown boundary conditions. The convergence properties new combination are obtained. A quasi-linearization technique utilized linearize term in equations. This process produces system equations which can be solved easily. Using i...

Perceptual linearization has been advocated for medical image presentation, both for the faithful reproduction of images, and for standardizing the appearance across different display devices. At this time, few studies have attempted to evaluate the effectiveness of a post-processing perceptual linearization step. We have recently analyzed the methods for computing perceptual linearization rema...

We present a method for generating linearized images that consist of only diffuse reflection from images taken under near point light sources. Previous photometric linearization method cannot work under near point light sources, since it assumes parallel light. For satisfying this assumption, our method utilizes a photometric linearization method by dividing images into small regions. It also s...