the complex-step derivative approximation is applied to compute numerical derivatives. in this study, we propose a new formula of fractional complex-step method utilizing jumarie definition. based on this method, we illustrated an approximate analytic solution for the fractional cauchy-euler equations. application in image denoising is imposed by introducing a new fractional mask depending on s...

introduction: it has been suggested that calculation of differential renal function (drf) using 99mtc-dmsa may lead to overestimation of the function of an obstructed kidney. the aim of this study was to evaluate the effect of diuretic administration on the determination of drf using 99mtc-dmsa scintigraphy in patients with dilated pelvis. methods: thirty three patients, aged from 2 months to 6...

The current paper contributes a novel framework for solving a class of linear matrix differential equations. To do so, the operational matrix of the derivative based on the shifted Bernoulli polynomials together with the collocation method are exploited to reduce the main problem to system of linear matrix equations. An error estimation of presented method is provided. Numerical experiments are...

The matrix functions appear in several applications in engineering and sciences. The computation of these functions almost involved complicated theory. Thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. The aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. More...

We derive the discrete linear systems associated to multi–matrix models, the corresponding discrete hierarchies and the appropriate coupling conditions. We also obtain the W 1+∞ constraints on the partition function. We then apply to multi– matrix models the technique, developed in previous papers, of extracting hierarchies of differential equations from lattice ones without passing through a c...

Differential reformulations of field theories are often used for explicit computations. We derive a one-matrix differential formulation two-matrix models, with the help which it is possible to diagonalize one- and models using formula by Itzykson Zuber that allows diagonalizing operators respect matrix elements Hermitian matrices. detail equivalence between expressions obtained partition functi...

The structure function of a random matrix ensemble can be specified as the covariance linear statistics $\sum_{j=1}^N e^{i k_1 \lambda_j}$, e^{-i k_2 \lambda_j}$ for Hermitian matrices, and same with eigenvalues $\lambda_j$ replaced by eigenangles $\theta_j$ unitary matrices. As such it written in terms Fourier transform density-density correlation $\rho_{(2)}$. For circular $\beta$-ensemble $\...

This paper summarizes recent research on an approach for the analytical solution to systems of delay differential equations developed using the Lambert W function [26, 29], and its applications [25, 28]. Also, several outstanding research problems associated with the solution of systems of delay differential equations using the matrix Lambert W function are highlighted. The solution has the for...