analysis of time series data can involve the inversion of large covariance matrices. for theclass of arma (p, q) processes there are no exact explicit expressions for these inverses, except for thema (1) process. in practice, the sample covariance matrix can be very large and inversion can becomputationally time consuming and so approximate explicit expressions for the inverse are desirable.thi...

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...

We propose an innovative approach for measuring real-time operational load within emergency departments. Medical informatics, operations researchers, and other decision makers in the health care field have yet to come to an agreement regarding standardized matrices for measuring operational load within emergency departments. As a result, it is difficult to develop methods and approaches for red...

Stochastic fractional differential equations (SFDEs) have many physical applications in the fields of turbulance, heterogeneous, flows and matrials, viscoelasticity and electromagnetic theory. In this paper, a new wavelet Galerkin method is proposed for numerical solution of SFDEs. First, fractional and stochastic operational matrices for the Chebyshev wavelets are introduced. Then, these opera...

Based on using block-pulse functions (BPFs)/shifted Legendre polynomials (SLPs) a unified approach for computing optimal control law of linear time-invariant/time-varying time-delay free/time-delay dynamic systems with quadratic performance index is discussed in this paper. The governing delay-differential equations of dynamic systems are converted into linear algebraic equations by using the o...

Abstract The main aim of the current paper is to construct a numerical algorithm for solutions second-order linear and nonlinear differential equations subject Robin boundary conditions. A basis function in terms shifted Chebyshev polynomials first kind that satisfy homogeneous conditions constructed. It has established operational matrices derivatives constructed polynomials. obtained are spec...