Perturbation Methods with Applications in Science and Engineering
Perturbation Methods with Applications in Science and Engineering

Author: İlkay Bakırtaş

Publisher: BoD – Books on Demand

Published: 2018-10-17

Total Pages: 170

ISBN-13: 1789842557

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The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

Random Perturbation Methods with Applications in Science and Engineering
Random Perturbation Methods with Applications in Science and Engineering

Author: Anatoli V. Skorokhod

Publisher: Springer Science & Business Media

Published: 2007-06-21

Total Pages: 500

ISBN-13: 0387224467

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This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

Perturbation Methods with Applications in Science and Engineering
Perturbation Methods with Applications in Science and Engineering

Author: İlkay Bakırtaş

Publisher:

Published: 2018

Total Pages: 168

ISBN-13: 9781789842562

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The governing equations of mathematical, chemical, biological, mechanical and economical models are often nonlinear and too complex to be solved analytically. Perturbation theory provides effective tools for obtaining approximate analytical solutions to a wide variety of such nonlinear problems, which may include differential or difference equations. In this book, we aim to present the recent developments and applications of the perturbation theory for treating problems in applied mathematics, physics and engineering. The eight chapters cover a variety of topics related to perturbation methods. The book is intended to draw attention of researchers and scientist in academia and industry.

Perturbation Methods in Science and Engineering
Perturbation Methods in Science and Engineering

Author: Reza N. Jazar

Publisher: Springer Nature

Published: 2021-07-12

Total Pages: 584

ISBN-13: 3030734625

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Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.

Random Perturbation Methods with Applications in Science and Engineering
Random Perturbation Methods with Applications in Science and Engineering

Author: Anatoli V. Skorokhod

Publisher: Springer Science & Business Media

Published: 2007-06-21

Total Pages: 498

ISBN-13: 0387224467

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This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.

Perturbation Techniques in Mathematics, Engineering and Physics
Perturbation Techniques in Mathematics, Engineering and Physics

Author: Richard Ernest Bellman

Publisher: Courier Corporation

Published: 2003-01-01

Total Pages: 146

ISBN-13: 9780486432588

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Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.

Perturbation Methods for Engineers and Scientists
Perturbation Methods for Engineers and Scientists

Author: AlanW. Bush

Publisher: Routledge

Published: 2018-05-04

Total Pages: 265

ISBN-13: 1351425358

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The subject of perturbation expansions is a powerful analytical technique which can be applied to problems which are too complex to have an exact solution, for example, calculating the drag of an aircraft in flight. These techniques can be used in place of complicated numerical solutions. This book provides an account of the main techniques of perturbation expansions applied to both differential equations and integral expressions. Features include a non-rigorous treatment of the subject at undergraduate level not available in any other current text; contains computer programs to enable the student to explore particular ideas and realistic case studies of industrial applications; a number of practical examples are included in the text to enhance understanding of points raised, particularly in the areas of mechanics and fluid mechanics; presents the main techniques of perturbation expansion at a level accessible to the undergraduate student.

Singular Perturbation Theory
Singular Perturbation Theory

Author: R.S. Johnson

Publisher: Springer Science & Business Media

Published: 2005-12-28

Total Pages: 305

ISBN-13: 0387232176

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The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible.