Fuzzy Finite Element Method For Steady State Heat Conduction Problem

Sarangam Majumdar

ISBN 10: 3659230340 / ISBN 13: 9783659230349

Published by LAP LAMBERT Academic Publishing Aug 2012, 2012

About this Item

Neuware -Traditional finite element method is a well-established method to solve various problems of science and engineering. Different authors have used various methods to solve governing differential equation of heat conduction problem. In this study, heat conduction in a circular rod has been considered which is made up of two different materials viz. aluminum and copper. In earlier studies parameters in the differential equation have been taken as fixed numbers which actually may not. Those parameters are found in general by some measurements or experiments. So the material properties are actually uncertain and may be considered to vary in an interval or as fuzzy and in that case complex interval arithmetic or fuzzy arithmetic has to be considered in the analysis.Hence interval/fuzzy arithmetic is applied in the finite element method to solve a steady state heat conduction problem. Application of fuzzy finite element method in the said problem gives fuzzy system of linear equations in general. Here we have also proposed new methods to handle such type of fuzzy system of linear equations. Corresponding results are computed and has been reported here.Books on Demand GmbH, Überseering 33, 22297 Hamburg 56 pp. Englisch.

Seller Inventory # 9783659230349

Bibliographic Details

• Title: Fuzzy Finite Element Method For Steady State Heat Conduction Problem
• Publisher: LAP LAMBERT Academic Publishing Aug 2012
• Publication Date: 2012
• Language: English
• ISBN 10: 3659230340
• ISBN 13: 9783659230349
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 4D millimeters 220 millimeters width by 150 millimeters height by 4 millimeters depth
• Weight: 102 grams

About this title

Synopsis

Traditional finite element method is a well-established method to solve various problems of science and engineering. Different authors have used various methods to solve governing differential equation of heat conduction problem. In this study, heat conduction in a circular rod has been considered which is made up of two different materials viz. aluminum and copper. In earlier studies parameters in the differential equation have been taken as fixed numbers which actually may not. Those parameters are found in general by some measurements or experiments. So the material properties are actually uncertain and may be considered to vary in an interval or as fuzzy and in that case complex interval arithmetic or fuzzy arithmetic has to be considered in the analysis.Hence interval/fuzzy arithmetic is applied in the finite element method to solve a steady state heat conduction problem. Application of fuzzy finite element method in the said problem gives fuzzy system of linear equations in general. Here we have also proposed new methods to handle such type of fuzzy system of linear equations. Corresponding results are computed and has been reported here.

About the Author

Sarangam Majumdar was born in Kolkata (Calcutta), India.He has M.Sc.(Mathematics) from National Institute of Technology, Rourkela and B.Sc. from University of Calcutta. He is a researcher on Numerical Analysis, Fuzzy, Bio mathematics in Indian Statistical Institute, Calcutta (Kolkata).Sarangam lives and works in Kolkata,India .