Urysohn integral equation is one of the most applicable topics in both pure and applied mathematics. The main objective of this paper is to solve the Urysohn type Fredholm integral equation. To do this, we approximate the solution of the problem by substituting a suitable truncated series of the well known Legendre polynomials instead of the known function. After discretization of the problem o...

Knowledge of a truncated Fourier series expansion for a discontinuous 2^-periodic function, or a truncated Chebyshev series expansion for a discontinuous nonperiodic function defined on the interval [-1, 1], is used in this paper to accurately and efficiently reconstruct the corresponding discontinuous function. First an algebraic equation of degree M for the M locations of discontinuities in e...

One of the most common heart disease is congestive heart failure. In this study, the detail coefficients of RR interval data obtained from the discrete wavelet transform are applied for congestive heart failure (CHF) classification. The wavelet-based feature examined is a difference between the logarithms of variances of detail coefficients of RR interval data corresponding to two consecutive l...

A study is made of the numerical condition of the coordinate map Mn which associates to each polynomial of degree <n 1 on the compact interval [a, ft] the n-vector of its coefficients with respect to the power basis. It is shown that the condition number IIA^II^IIAÎ" 11^ increases at an exponential rate if the interval [a, b] is symmetric or on one side of the origin, the rate of growth being a...

Given an MOLP with fuzzy coefficients, this study proposed a solution procedure to find the exact solution-mix for any α -leveled satisfaction, which is in the form of an interval-valued problem. By incorporating the perturbation on weights and the degrees of possibility of the profits and resources, a multiparametric model can be solve by using intra-parametric analysis for the efficient contr...

The present study used meta-analytic techniques to test whether trait consistency maximizes and stabilizes at a specific period in the life course. From 152 longitudinal studies, 3,217 test-retest correlation coefficients were compiled. Meta-analytic estimates of mean population test-retest correlation coefficients showed that trait consistency increased from .31 in childhood to .54 during the ...

The computation of the exact solution set of an interval linear system is a nontrivial task [2, 13]. Even in two and three dimensions a lot of work has to be done. We demonstrate two different realizations. The first approach (see [16]) is based on Java, Java3D, and the BigRational package [21]. An applet allows modifications of the matrix coefficients and/or the coefficients of the right hand ...

Wu’s elimination method is an important method for solving multivariate polynomial equations. In this paper, we apply interval arithmetic to Wu’s method and convert the problem of solving polynomial equations into that of solving interval polynomial equations. Parallel results such as zero-decomposition theorem are obtained for interval polynomial equations. The advantages of the new approach a...

For [Formula: see text], we study the zeros of sequence polynomials text] generated by reciprocal expanded as a power series in text]. Equivalently, this is obtained from linear combination Chebyshev whose coefficients have binomial form. We show that number outside interval bounded constant independent

Solution. The equation is linear and is already in normal form. The coefficient of u is undefined at t = 0 and is continuous elsewhere. The coefficient of u is undefined at t = −6 and is continuous elsewhere. The forcing is undefined at t = 2 and is continuous elsewhere. Therefore the interval of definition is (−6, 0) because • the initial time t = −3 is in the interval (−6, 0), • all the coeff...