In this paper, a variational iteration method (VIM), which is a well-known method for solving nonlinear equations, has been employed to solve an inverse parabolic partial differential equation. Inverse problems in partial differential equations can be used to model many real problems in engineering and other physical sciences. The VIM is to construct correction functional using general Lagr...

This paper presents an exact solution method based on a new linearization scheme for the 0-1 Quadratic Knapsack Problem (QKP) which consists of maximizing a quadratic pseudo-Boolean function with non negative coefficients subject to a linear capacity constraint. Contrasting to traditional linearization schemes, our approach only adds one extra variable. We first convert (QKP) into an equivalent...

Zusammenfassung Der Beitrag beschreibt eine exakte E/ALinearisierung für die translatorische Dynamik eines Quadrocopters. Die hierfür relevante Lageinformation reduziert sich auf die Ausrichtung des Schubvektors (bzw. der körperfesten zAchse), welche mit zwei Freiheitsgraden beschrieben werden kann. Hierzu wird im vorliegenden Beitrag ein spezielles Schubachsenquaternion eingeführt. Die E/A-Lin...

This research is concerned with the development of an exact algorithm for a general quadratic assignment problem (QAP), of which the Koopmans-Beckmann formulation, in the context of an analysis of the location of economic activities or facilities, is a special case. The algorithm is based on the linearization of a general QAP of size n into a linear assignment problem of size n(n-l)/2. The obje...

In this paper, the homotopy analysis method has been applied to solve (2 + 1)-dimensional Schrödinger equations. The validity of this method has successfully been accomplished by applying it to find the solution of some of its variety forms. The results obtained by homotopy analysis method have been compared with those of exact solutions. The main objective is to propose alternative methods of ...

“Nonlinear control systems” is a subject that deals with the analysis and the design of nonlinear control systems, i.e., the analysis and the design of control system that contains at least one nonlinear component [1]. The classic methods used in the study of the linear systems, particularly the frequency analysis, are not applicable to nonlinear systems [2]. Thus, different approaches are requ...

We study polynomial time learning of description logic TBoxes in Angluin et al.’s framework of exact learning via queries. We admit entailment queries (“is a given subsumption entailed by the target TBox?”) and equivalence queries (“is a given TBox equivalent to the target TBox?”), assuming that the signature and logic of the target TBox are known. We present three main results: (1) TBoxes form...

In this paper, the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by Moolgavkar and Venzon (see [9]). The numerical solution obtained by this way have been compared with the exact solution which obtained by Moolgavkar and Venzon (see [11]). This comparison show that the (...

In this paper, we present numerical approximation for oscillatory initial value problems (IVPs) using the homotopy analysis algorithm. The convergence of method is discussed and experiments are presented to illustrate computational effectiveness results obtained in good agreement with exact solutions Adomian decomposition (ADM). These show that algorithm introduced here easy apply without linea...

We discuss the Minority Game, a model of heterogeneous, indictive rational agents inspired by the El Farol Bar problem. We derive the exact solution of the model in the limit of infinitely many agents using tools of statistical physics of disordered systems. Our results show that the impact of agents on the collective behavior plays a key role: even though for each agent this effect is very sma...