Kybernetes: Volume 34 Issue 7/8

New methods for applying the Adomian method to partial differential equations with boundary conditions

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…

A different approach for solving singular two‐point boundary value problems

Aims to solve singular two‐point boundary value problems, linear and non‐linear by using modified and standard decomposition methods, respectively.

Geometrical interpretation and approximate solution of non‐linear KdV equation

The purpose is to study an analytical solution of non‐linear Korteweg‐de Vries (KdV) equation by using the Adomian decomposition method (ADM).

A reliable approach to the Korteweg‐de Vries equation.: An application of the decomposition method

This is another application of the Adomian decomposition method (ADM). It is used to implement the linear homogeneous and the non‐homogeneous Korteweg‐de Vries equations (KdV).

A comparison of numerical solutions of fourth‐order boundary value problems

To use the modified decomposition method to obtain numerical solutions of fourth‐order boundary value problems.

Direct identification of general linear compartmental systems by means of (n−2) compartments measures

Aims to study direct identification of general linear compartmental systems by means of (n−2) compartmental measures. This is based on two main results.

Solving inequalities by α‐dense curves. Application to global optimization

To introduce an algorithm to solve inequalities defined by real functions on a certain compact set D of a general metric space (E, D). The device is based on α‐dense curves.

Adomian method for solving adaptive control problem

Aims to propose methodology to solve adaptive control problems by the use of the Adomian decomposition method (ADM).

Global optimization via α‐dense curves

To study constrained or unconstrained global optimization problems in a cube of R^d where d is a positive integer.

Identification of closed Michaelis‐Menten system by a linear approach

This paper aims at identifying the closed Michaelis‐Menten (M‐M) system. The system governs many phenomena that are based on “enzyme reactions”.

A new decomposition method based on infinite products

The purpose is to apply a new decomposition method for solving non‐linear functional equations.

A reliable method for obtaining approximate solutions of linear and nonlinear Volterra‐Fredholm integro‐differential equations

Based on the original methods of Adomian a decomposition method has been developed to find the analytic approximation of the linear and nonlinear Volterra‐Fredholm (V‐F…

Global optimization: the Alienor mixed method with Piyavskii‐Shubert technique

Aims to present study of the coupling of the Alienor method with the algorithm of Piyavskii‐Shubert for global optimization applications.

The Alienor method coupled to the Brent algorithm

Classical multidimensional global optimization methods are difficult to implement in high dimensions. To show that the Alienor method coupled with the Brent algorithm can avoid…

A global optimization method for a large number of variables (variant of Alienor method)

To use α‐dense curves to allow the transform of a multiple function into a single variable function in order to solve global optimization problems.

A new reducing transformation for global optimization (with Alienor method)

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.

Solving constrained global optimization problems without penalty parameters

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…

Alienor method for global optimization with a large number of variables

To show the usefulness of the Alienor method when applied to the global optimization problems that depend on large number of variables.

A new “Optimization‐Preserving‐Operator” applied to global optimization

To introduce Optimization‐Preserving‐Operators (O‐P‐Os), which are operators that are defined on classes of real functions that depend on a single variable, and allow us to…

Coupling Adomian and spectral methods for obtaining a numerical solution of an optimal control problem in cancer research

To compute an optimal control of non‐linear reaction diffusion equations that are modelling inhibitor problems in the brain.

Pharmacokinetic parameters identification using the combined Alienor/Adomian methods

A two‐compartmental open model to study metabolism/elimination that arise in clinical observation and pharmacokinetics, is presented. The purpose of this work is to show how it is…

New results about the identifiability of linear open bicompartmental homogeneous system and the identification of open Michaelis‐Menten system by a linear approach

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 an anticancerous drug model in brain tissues using Adomian/Alienor methods

In this paper, non‐linear compartment modelling is used to study drug transport of anticancerous substance across brain tissues. The aim of the work is to identify the…

Optimal control of chemotherapy of HIV model using the coupled Adomian/Alienor methods

This paper aims at applying the proven Adomian and Alienor methods to solve the problem of optimal chemotherapy of HIV model.

Alienor method applied to operational research

This paper presents an efficient algorithm for solving general constrained optimization problems that arise in operational research (OR).

Combined Adomian/Alienor methods for solving adaptive control problems in chemotherapy

To show how the combined Adomian/Alienor methods for solving adaptive control problems can successfully be applied to chemotherapy.

Systems theory and the science of military command and control

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…

Systemic philosophy and the philosophy of social science – Part I: Transcendence of the naturalistic and the anti‐naturalistic position in the philosophy of social science

To discuss systemic thinking in relation to the naturalistic and anti‐naturalistic position in the philosophy of social science. To develop the theme in two parts: I and II.

Cybernetics and systems on the web: internet newsletters

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…

Dark Hero of the Information Age: In Search of Norbert Wiener, the Father of Cybernetics

Pattern Recognition Algorithms for Data Mining

Data Hiding Fundamentals and Applications: Content Security in Digital Multimedia

International Encyclopedia of Systems and Cybernetics

Geometric Fundamentals of Robotics

Formal software for calculating Adomian polynomials of high order

Adomian decomposition method for systems of nonlinear differential equations: new formulae for obtaining Adomian polynomials in p dimensions

IFSR International Congress, Kobe, Japan, 14-17 November 2005

Solving a capacitated four-index transportation problem

MoDELS/UML 2005

World Organization of Systems and Cybernetics (WOSC)

The reducing transformation method (Alienor) for solving optimization problems with mixed or integer variables

Probabilistic Conditional Independence Structures

Information Sharing on the Semantic web

Alienor method for global optimization with constraints

An Adomian decomposition method for systems of PDEs and the coupled nonlinear Schrödinger equations

Announcements

New challenges for computing optimal control of distributed parameter systems

Sixth European Congress on Systems Science

Obituary notice: Alfred Locker

Optimal control problem in chemotherapy solved by Alienor and Adomian methods

VIS 2005

New roles for systems science

Biocybernetics: methodology and applications