Result: Double side approach method to obtain solutions for transient nonlinear heat conduction using genetic algorithms

Title:
Double side approach method to obtain solutions for transient nonlinear heat conduction using genetic algorithms
Authors:
CHEN, Cha'O-Kuang, HUNG, Chen-I, LEE, Zong-Yi
Source:
Applied mathematics and computation. 133(2-3):431-444
Publisher Information:
New York, NY: Elsevier, 2002.
Publication Year:
2002
Physical Description:
print, 14 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Equations aux dérivées partielles, problèmes aux valeurs limites, Partial differential equations, boundary value problems, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Programmation mathématique numérique, Numerical methods in mathematical programming, Algorithme génétique, Genetic algorithm, Algoritmo genético, Conduction thermique, Thermal conduction, Conducción térmica, Equation différentielle, Differential equation, Ecuación diferencial, Equation dérivée partielle, Partial differential equation, Ecuación derivada parcial, Equation non linéaire, Non linear equation, Ecuación no lineal, Méthode collocation, Collocation method, Método colocación, Méthode mathématique, Mathematical method, Método matemático, Méthode optimisation, Optimization method, Método optimización, Méthode résidu pondéré, Weighted residual method, Método residuo pondero, Méthode élément fini, Finite element method, Método elemento finito, Problème valeur limite, Boundary value problem, Problema valor limite, Programmation mathématique, Mathematical programming, Programación matemática, Solution exacte, Exact solution, Solución exacta, 65N99, 65Nxx
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Tawain, Province of China
ISSN:
0096-3003
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=13933714
Rights:
Copyright 2003 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.13933714
Database:
PASCAL Archive

Further Information

This paper presents a new method for treating engineering problems. The double side approach method (DSAM) is uses a mathematical programming and method of weighted residuals to obtain solutions for nonlinear differential equations. The method is a semi-exact solution. It is based on the collocation method and mathematical programming to create a bilateral inequality. For this process, the differential equation problem will be changed to a mathematical programming problem. By using the optimization method of genetic algorithms (GAs), we can get minimum and maximum solutions to satisfy inequality. One advantage of DSAM is that the demands on computer memory are less than those required when applying the finite element method. In this paper, a boundary value problem is studied as an example. The efficiency, accuracy, and simplicity of the DSAM approach are fully illustrated, indicating that the proposed method may be readily extended to solve a wide range of physical engineering problems.