A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area...

In this paper, we propose a novel scheme for image compression by the curvelet transform. Curve functions are effective in representing functions that have discontinuities along straight lines. Normal wavelet transforms fail to represent such functions effectively. Modification of the traditional JPEG method based on region-of-interest coding is achieved and used curvelet transform. The modific...

In this paper, modification in the computational methods, for solving Non-linear Volterra integral equations, is presented. Here, two piecewise constant methods are considered for obtaining the solutions. The first method is based on Walsh Functions (WF) and the second method is via Block Pulse Functions (BPF). Comparison between the two methods is presented by calculating the errors vis-à-vis ...

The present paper illustrates a new numerical technique to solve system of linear Fredholm integral equations the second kind. current work introduces coupling between hybrid Bernstein functions and improved block-pulse (HBI). method transforms kind into an algebraic that can be solved by using classical methods. Some examples are introduced validate approach. results showed is promising, power...

The tracking control of bilinear system with delayed state is synthesized using Block pulse functions. A linear controllers are designed allowing the systems output to follow a preshaped reference model. The parameters of the feedback regulator are derived by solving a linear algebraic equation in the least square sense. Simulation results are provided to demonstrate the merits of the proposed ...