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Purpose – This paper aims at identifying the closed Michaelis‐Menten (M‐M) system. The system governs many phenomena that are based on “enzyme reactions”. Design/methodology/approach – A linearization method is used. The system, however is not homogeneous and consequently earlier...
Purpose – The purpose is to study an analytical solution of non‐linear Korteweg‐de Vries (KdV) equation by using the Adomian decomposition method (ADM). Design/methodology/approach – The solution is calculated in the form of a series with easily computable components. The non‐linear KdV...
Purpose – This paper presents an efficient algorithm for solving general constrained optimization problems that arise in operational research (OR). Design/methodology/approach – An unified approach is accomplished by converting the constrained optimization problem into an unconstrained one...
Purpose – To compute an optimal control of non‐linear reaction diffusion equations that are modelling inhibitor problems in the brain. Design/methodology/approach – A new numerical approach that combines a spectral method in time and the Adomian decomposition method in space. The coupling...
Purpose – To propose a new reducing transformation that allows the calculation of the absolute minimum of a function that depends on a large number of variables to be performed quickly. Design/methodology/approach – The methodology depends on the building of α ‐dense curve in a compact of...
Purpose – To find methods for solving non‐linear partial differential equations. The decomposition method may be applied, but a difficulty arises when applied to non‐linear partial differential equations with initial and boundary conditions. In this work, two methods are described that take...
Purpose – To propose a new method for solving constrained global optimization problems using a method that consists of transforming a constrained global optimization problem into an unconstrained one without using any penalty coefficients. Design/methodology/approach – Use of an unconstrained...
Purpose – To prove two results. Namely that if in a linear homogeneous bicompartmental system one compartment is measured then it is indefinable. The second one is related to the identification of non‐linear compartmental models by mean of a linear method. Design/methodology/approach – The...
Purpose – Attention is drawn to an announcement of two publications relating to the work of Humberto Maturana, and to a new online encyclopedia of systems and cybernetics. The latter uses Wikimedia technology for free interaction, and this is discussed. Advice on combating spyware and other...
Purpose – To propose a new military academic area called the “Science of Military Command and Control” which will demand an entirely new way of thinking regarding decision‐making command and control and use of modern technology. Design/methodology/approach – Defines basic terms and...
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