Skip to main content
SpringerLink
Log in

Group Invariance in Engineering Boundary Value Problems

  • Textbook
  • © 1985

Overview

Authors:
  1. R. Seshadri

    1. Syncrude Canada Limited, Fort McMurray, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. T. Y. Na

    1. Department of Mechanical Engineering, University of Michigan—Dearborn, Dearborn, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Introduction and General Outline

    • R. Seshadri, T. Y. Na
    Pages 1-4

  3. Concepts of Continuous Transformation Groups

    • R. Seshadri, T. Y. Na
    Pages 5-34

  4. A Survey of Methods for Determining Similarity Transformations

    • R. Seshadri, T. Y. Na
    Pages 35-61

  5. Application of Similarity Analysis to Problems in Science and Engineering

    • R. Seshadri, T. Y. Na
    Pages 62-90

  6. Similarity Analysis of Boundary Value Problems with Finite Boundaries

    • R. Seshadri, T. Y. Na
    Pages 91-102

  7. On Obtaining Non-Similar Solutions from Similar Solutions

    • R. Seshadri, T. Y. Na
    Pages 103-124

  8. Moving Boundary Problems Governed by Parabolic Equations

    • R. Seshadri, T. Y. Na
    Pages 125-136

  9. Similarity Analysis of Wave Propagation Problems

    • R. Seshadri, T. Y. Na
    Pages 137-156

  10. Transformation of a Boundary Value Problem to an Initial Value Problem

    • R. Seshadri, T. Y. Na
    Pages 157-168

  11. From Nonlinear to Linear Differential Equations using Transformation Groups

    • R. Seshadri, T. Y. Na
    Pages 169-189

  12. Miscellaneous Topics

    • R. Seshadri, T. Y. Na
    Pages 190-207

  13. Back Matter

    Pages 208-224
    Download chapter PDF
Back to top

Keywords

About this book

REFEREN CES . 156 9 Transforma.tion of a Boundary Value Problem to an Initial Value Problem . 157 9.0 Introduction . 157 9.1 Blasius Equation in Boundary Layer Flow . 157 9.2 Longitudinal Impact of Nonlinear Viscoplastic Rods . 163 9.3 Summary . 168 REFERENCES . . . . . . . . . . . . . . . . . . 168 . 10 From Nonlinear to Linear Differential Equa.tions Using Transformation Groups. . . . . . . . . . . . . . 169 . 10.1 From Nonlinear to Linear Differential Equations . 170 10.2 Application to Ordinary Differential Equations -Bernoulli's Equation . . . . . . . . . . . 173 10.3 Application to Partial Differential Equations -A Nonlinear Chemical Exchange Process . 178 10.4 Limitations of the Inspectional Group Method . 187 10.5 Summary . 188 REFERENCES . . . . 188 11 Miscellaneous Topics . 190 11.1 Reduction of Differential Equations to Algebraic Equations 190 11.2 Reduction of Order of an Ordinary Differential Equation . 191 11.3 Transformat.ion From Ordinary to Partial Differential Equations-Search for First Integrals . . . . . . " 193 . 11.4 Reduction of Number of Variables by Multiparameter Groups of Transformations . . . . . . . . .. . . . 194 11.5 Self-Similar Solutions of the First and Second Kind . . 202 11.6 Normalized Representation and Dimensional Consideration 204 REFERENCES .206 Problems . 208 .220 Index .. Chapter 1 INTRODUCTION AND GENERAL OUTLINE Physical problems in engineering science are often described by dif­ ferential models either linear or nonlinear. There is also an abundance of transformations of various types that appear in the literature of engineer­ ing and mathematics that are generally aimed at obtaining some sort of simplification of a differential model.

Authors and Affiliations

  • Syncrude Canada Limited, Fort McMurray, Canada

    R. Seshadri

  • Department of Mechanical Engineering, University of Michigan—Dearborn, Dearborn, USA

    T. Y. Na

Bibliographic Information

  • Book Title: Group Invariance in Engineering Boundary Value Problems

  • Authors: R. Seshadri, T. Y. Na

  • DOI: https://doi.org/10.1007/978-1-4612-5102-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1985

  • Softcover ISBN: 978-1-4612-9564-8

  • eBook ISBN: 978-1-4612-5102-6

  • Edition Number: 1

  • Number of Pages: 224

  • Topics: Analysis, Mechanical Engineering, Engineering Design

Publish with us

Policies and ethics

Back to top

Search

Navigation