Rational Approximation for Bratu-Type Equations | of Solid and Hollow Geometries

Moustafa Aly Soliman

ISBN 10: 3330034750 / ISBN 13: 9783330034754

Published by LAP LAMBERT Academic Publishing, 2017

About this Item

Rational Approximation for Bratu-Type Equations | of Solid and Hollow Geometries | Moustafa Aly Soliman | Taschenbuch | 56 S. | Englisch | 2017 | LAP LAMBERT Academic Publishing | EAN 9783330034754 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 108383519

Bibliographic Details

• Title: Rational Approximation for Bratu-Type Equations | of Solid and Hollow Geometries
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2017
• Language: English
• ISBN 10: 3330034750
• ISBN 13: 9783330034754
• 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
• Seller catalogs:
  • Bücher

About this title

Synopsis

Several theoretical studies and numerical methods were used for the study of the Bratu problem. It is a two point boundary value problem of a second order non-linear ordinary differential equation. The Bratu equation models thermal explosion in an enclosure, a non-isothermal zero order reaction in a catalyst particle and appears in the theory of the electric charge around a hot wire, in certain problems of solid mechanics, and the electrospinning of nanofibres. The initial value problem analogue to Bratu equation is called Lane Emden equation of the second kind. The Lane Emden equation is a basic equation in astrophysics that describes dimensionless density distribution in an isothermal gas sphere. We present analytical approximation methods for its solution in case of solid and hollow slab, cylinder and sphere. We use perturbation and collocation methods for its treatment. Perturbation series are recast in the form of rational expressions. We also introduce a rational collocation method. Mathematicians, engineers, astrologists, physicists, and chemists will find the book useful in their work.

About the Author

Moustafa Aly Soliman, Ph.D. is Professor of Chemical Engineering at the British University in Egypt. His pioneering research has resulted in two books, more than 190 journal and conference papers, and five patents.