In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is investigated and it is proved that the ord...

A coupled method of Laplace transform and Legendre wavelets is presented to obtain exact solutions of Lane-Emden-type equations. By employing properties of Laplace transform, a new operator is first introduced and then its Legendre wavelets operational matrix is derived to convert the Lane-Emden equations into a system of algebraic equations. Block pulse functions are used to calculate the Lege...

review the literature of conservatism in financial reporting indicates the importance of conservatism in accounting profession. researchers have always tried to determine the degree and ways of conservatism in financial reporting and accounting, although this is not done easily, because there is not a direct measure of conservatism. however, conservatism has been one of the key principles in ac...

let $ m , n in mathbb{n}$, $d$ be a division ring, and $m_{m times n}(d)$ denote the bimodule of all $m times n$ matrices with entries from $d$. first, we characterize one-sided submodules of $m_{m times n}(d)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $d$. next, we introduce the notion of a nest module of matrices with entries from $d$. we ...

Few studies have examined the impact of age on reactivity to concurrent think-aloud (TA) verbal reports. An initial study with 30 younger and 31 older adults revealed that thinking aloud improves older adult performance on a short form of the Raven's Matrices (Bors & Stokes, 1998, Educational and Psychological Measurement, 58, p. 382) but did not affect other tasks. In the replication experimen...

We establish a powerful numerical algorithm to compute solutions of coupled system variable fractional order differential equations. Our numer?ical procedure is based on Bernstein polynomials. The mentioned polynomials are non-orthogonal and have the ability produce good results as compared some other method like wavelet. By differentiation integration, operational matrices formed. On using obt...

Operational TEWS play a key role in reducing tsunami impact on populated coastal areas around the world event of an earthquake-generated tsunami. Traditionally, these systems NEAM region have relied implementation decision matrices. The very short arrival times waves from generation to this made it not possible use real-time on-the-fly simulations produce more accurate alert levels. In cases, w...

‎In this approach‎, ‎one‎ computational method is presented for numerical approximation of variational problems‎. ‎This with variable ‎coeffici‎ents based on Hermite polynomials‎. ‎The properties polynomials the operational matrices derivative and integration are used to reduce optimal control problems solution linear algebraic equations‎. ‎Illustrative examples included demonstrate validity ap...