Boundary Value Problems For Engineers PDF Download
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Author | : Ali Ümit Keskin |
Publisher | : Springer |
Total Pages | : 517 |
Release | : 2019-06-19 |
Genre | : Technology & Engineering |
ISBN | : 3030210804 |
Download Boundary Value Problems for Engineers Book in PDF, ePub and Kindle
This book is designed to supplement standard texts and teaching material in the areas of differential equations in engineering such as in Electrical ,Mechanical and Biomedical engineering. Emphasis is placed on the Boundary Value Problems that are often met in these fields.This keeps the the spectrum of the book rather focussed .The book has basically emerged from the need in the authors lectures on “Advanced Numerical Methods in Biomedical Engineering” at Yeditepe University and it is aimed to assist the students in solving general and application specific problems in Science and Engineering at upper-undergraduate and graduate level.Majority of the problems given in this book are self-contained and have varying levels of difficulty to encourage the student. Problems that deal with MATLAB simulations are particularly intended to guide the student to understand the nature and demystify theoretical aspects of these problems. Relevant references are included at the end of each chapter. Here one will also find large number of software that supplements this book in the form of MATLAB script (.m files). The name of the files used for the solution of a problem are indicated at the end of each corresponding problem statement.There are also some exercises left to students as homework assignments in the book. An outstanding feature of the book is the large number and variety of the solved problems that are included in it. Some of these problems can be found relatively simple, while others are more challenging and used for research projects. All solutions to the problems and script files included in the book have been tested using recent MATLAB software.The features and the content of this book will be most useful to the students studying in Engineering fields, at different levels of their education (upper undergraduate-graduate).
Author | : R. Seshadri |
Publisher | : Springer Science & Business Media |
Total Pages | : 232 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461251028 |
Download Group Invariance in Engineering Boundary Value Problems Book in PDF, ePub and Kindle
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.
Author | : M. Necati Ozisik |
Publisher | : Courier Corporation |
Total Pages | : 515 |
Release | : 2013-11-26 |
Genre | : Technology & Engineering |
ISBN | : 0486782867 |
Download Boundary Value Problems of Heat Conduction Book in PDF, ePub and Kindle
Intended for first-year graduate courses in heat transfer, this volume includes topics relevant to chemical and nuclear engineering and aerospace engineering. The systematic and comprehensive treatment employs modern mathematical methods of solving problems in heat conduction and diffusion. Starting with precise coverage of heat flux as a vector, derivation of the conduction equations, integral-transform technique, and coordinate transformations, the text advances to problem characteristics peculiar to Cartesian, cylindrical, and spherical coordinates; application of Duhamel's method; solution of heat-conduction problems; and the integral method of solution of nonlinear conduction problems. Additional topics include useful transformations in the solution of nonlinear boundary value problems of heat conduction; numerical techniques such as the finite differences and the Monte Carlo method; and anisotropic solids in relation to resistivity and conductivity tensors. Illustrative examples and problems amplify the text, which is supplemented by helpful appendixes.
Author | : Karel Rektorys |
Publisher | : CRC Press |
Total Pages | : 218 |
Release | : 1998-10-20 |
Genre | : Mathematics |
ISBN | : 9780849325526 |
Download Solving Ordinary and Partial Boundary Value Problems in Science and Engineering Book in PDF, ePub and Kindle
This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary. Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
Author | : T.Y. Na |
Publisher | : Academic Press |
Total Pages | : 321 |
Release | : 1980-01-18 |
Genre | : Computers |
ISBN | : 008095653X |
Download Computational Methods in Engineering Boundary Value Problems Book in PDF, ePub and Kindle
Computational Methods in Engineering Boundary Value Problems
Author | : C. Rogers |
Publisher | : Academic Press |
Total Pages | : 433 |
Release | : 1989-11-14 |
Genre | : Computers |
ISBN | : 0080958702 |
Download Nonlinear Boundary Value Problems in Science and Engineering Book in PDF, ePub and Kindle
Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
Author | : Johnny Henderson |
Publisher | : Academic Press |
Total Pages | : 323 |
Release | : 2015-10-30 |
Genre | : Mathematics |
ISBN | : 0128036796 |
Download Boundary Value Problems for Systems of Differential, Difference and Fractional Equations Book in PDF, ePub and Kindle
Boundary Value Problems for Systems of Differential, Difference and Fractional Equations: Positive Solutions discusses the concept of a differential equation that brings together a set of additional constraints called the boundary conditions. As boundary value problems arise in several branches of math given the fact that any physical differential equation will have them, this book will provide a timely presentation on the topic. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Explains the systems of second order and higher orders differential equations with integral and multi-point boundary conditions Discusses second order difference equations with multi-point boundary conditions Introduces Riemann-Liouville fractional differential equations with uncoupled and coupled integral boundary conditions
Author | : R. Seshadri |
Publisher | : |
Total Pages | : 240 |
Release | : 1985-03-01 |
Genre | : |
ISBN | : 9781461251033 |
Download Group Invariance in Engineering Boundary Value Problems Book in PDF, ePub and Kindle
Author | : Frank Chorlton |
Publisher | : |
Total Pages | : 250 |
Release | : 1969 |
Genre | : Boundary value problems |
ISBN | : 9780442015435 |
Download Boundary Value Problems in Physics and Engineering Book in PDF, ePub and Kindle
Author | : David V. Kalbaugh |
Publisher | : CRC Press |
Total Pages | : 453 |
Release | : 2017-09-01 |
Genre | : Mathematics |
ISBN | : 1498798829 |
Download Differential Equations for Engineers Book in PDF, ePub and Kindle
This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.