in this paper, we propose and analyze an efficient matrix methodbased on bell polynomials for numerically solving nonlinear fredholm- volterraintegral equations. for this aim, first we calculate operational matrix of integration and product based on bell polynomials. by using these matrices, nonlinearfredholm-volterra integral equations reduce to the system of nonlinear algebraicequations which...

a numerical method for solving nonlinear fredholm-volterra integral equations of general type is presented. this method is based on replacement of unknown function by truncated series of well known chebyshev expansion of functions. the quadrature formulas which we use to calculate integral terms have been imated by fast fourier transform (fft). this is a grate advantage of this method which has...

In the paper, the author presents explicit and unified expressions for a sequence of improper integrals in terms of the beta functions and the Wallis ratios. Hereafter, the author derives integral representations for the Catalan numbers originating from combinatorics.

This letter investigates hybrid lower bounds on the mean square error in order to predict the so-called threshold effect. A new family of tighter hybrid large error bounds based on linear transformations (discrete or integral) of a mixture of the McAulay-Seidman bound and the Weiss-Weinstein bound is provided in multivariate parameters case with multiple test points. For use in applications, we...

This paper is concerned with weighted least mean square design of two-dimensional (2-D) zero-phase FIR lters with quadrantally symmetric and antisymmetric frequency responses. The optimal solutions are rst characterized by certain integral equations, and the existence, and uniqueness of the weighted least mean square solution for 2-D FIR lter design are then established using contraction mappin...

The control of FOPD (first order plus delay) systems with high normalized time (ratio of time delay and time constant) is a very hard task, especially when the system parameters are subjected to variations. A great number of physical systems show such model behavior. In process control today, proportional integral derivative (PID) (continuous and digital) controllers still predominate and are s...

DC-DC converters form a class of highly nonlinear systems and are widely used in most practical applications. Positive Output Elementary Luo Converter (POELC) is fourth-order converter to regulate dc voltages low power applications with varying input voltage load conditions. POELC employed for sensitive like SMPS, powering hard disks etc. The control higher-order always challenging task due the...

This paper deals with the design of observers for batch processes and the tuning of the observer gains with the objective to guarantee fast convergence of the state estimates. The approach followed in the present proposes to use an ITSE (Integral of the Time-weighted Square Error) criterion. The approach is illustrated on a batch process used in wastewater treatment, sequencing batch reactor (S...

An efficient method is derived in this paper to obviate the integral involved in the performance analysis of the minimum mean square error (MMSE) detector for direct-sequence code-division multiple-access (DS/CDMA) systems in fading environments. The new method is shown to significantly reduce the necessary computational load for the performance analysis of the MMSE detector. We then examine th...

The author presented a method for model order reduction of large-scale time-invariant systems in time domain. In this approach, two modified Hankel matrices are suggested for getting reduced order models. The proposed method is simple, efficient and retains stability feature of the original high order system. The viability of the method is illustrated through the examples taken from literature....