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Group invariance in engineering boundary value problems

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dc.contributor.author Seshadri, R.
dc.contributor.author Na, T. Y.
dc.date.accessioned 2022-08-01T08:11:34Z
dc.date.available 2022-08-01T08:11:34Z
dc.date.issued 1985
dc.identifier.uri https://doi.org/10.1007/978-1-4612-5102-6
dc.identifier.uri https://libjncir.jncasr.ac.in/xmlui/handle/123456789/3265
dc.description Contact the library to access the ebook. en_US
dc.description.abstract Introduction 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. en_US
dc.language.iso en en_US
dc.publisher Springer-Verlag en_US
dc.subject Boundary value problems en_US
dc.subject Transformation groups en_US
dc.title Group invariance in engineering boundary value problems en_US
dc.type Book en_US


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