Differential Equation Based Solutions For Emerging Real Time Problems
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Differential Equation Based Solutions For Emerging Real Time Problems
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Author : Papiya Debnath
language : en
Publisher: CRC Press
Release Date : 2023-10-30
Differential Equation Based Solutions For Emerging Real Time Problems written by Papiya Debnath and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.
Modeling with differential equations is an effective tool to provide methodical and quantitative solutions to real-world phenomena including investigating measurable features, consolidation and processing of data, and designing and developing complex engineering systems. This book describes differential equations correlation with qualitative and quantitative analysis, and mathematical modeling in the engineering and applied sciences. Given equations are explained from multidimensional characterizations with MATLAB® codes. Features: Addresses differential equation-based approaches to solve varied engineering problems. Discusses derivation and solution of major equations of engineering and applied science. Reviews qualitative and quantitative (numerical) analysis and mathematical modelling. Includes mathematical models of the discussed problems. Discusses MATLAB® codes. Features: code and online materials related to the differential equations. This book is aimed at researchers graduate students in electrical and electronics engineering, control systems, electron devices society, applied physics, and engineering design.
Differential Equations And Boundary Value Problem
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Author : C HENRY. EDWARDS
language : en
Publisher:
Release Date : 2022
Differential Equations And Boundary Value Problem written by C HENRY. EDWARDS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Differential Equations Mechanics And Computation
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Author : Richard S. Palais
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-11-13
Differential Equations Mechanics And Computation written by Richard S. Palais and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-13 with Mathematics categories.
This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
Applications Of Differential Transform To Real World Problems
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Author : Yogeshwari F Patel
language : en
Publisher: CRC Press
Release Date : 2022-08-08
Applications Of Differential Transform To Real World Problems written by Yogeshwari F Patel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-08 with Mathematics categories.
This book is an invaluable resource for applied researchers to find the analytical solution of differential equations describing the dynamical system with less computational effort and time. It describes the basic concepts of the differential transform method and solution of various real-world problems described by simple to complicated differential equations. It provides a computational technique that is not only conceptually simple and easy to use but also readily adaptable for computer coding. Different chapters of the book deal with the basic differential equations involved in the physical phenomena as well as a complicated system of differential equations described by the mathematical model. The book offers comprehensive coverage of the most essential topics, including Basic concepts and fundamental properties of the proposed technique with proof The solution of linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations (ODEs) and partial differential equations (PDEs) The initial and boundary value problems Real-world ODE and PDE problems are also discussed Applications of Differential Transform to Real World Problems is primarily aimed at undergraduates, graduates, and researchers studying differential equations. Scientists dealing with complicated differential equations or systems of differential equations will also find this book useful.
Advance Numerical Techniques To Solve Linear And Nonlinear Differential Equations
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Author : Geeta Arora
language : en
Publisher: CRC Press
Release Date : 2024-01-23
Advance Numerical Techniques To Solve Linear And Nonlinear Differential Equations written by Geeta Arora and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-23 with Mathematics categories.
Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be used throughout engineering and the sciences. Almost any changing system may be described by a set of differential equations. They may be found just about anywhere you look in fields including physics, engineering, economics, sociology, biology, business, healthcare, etc. The nature of these equations has been investigated by several mathematicians over the course of hundreds of years and, consequently, numerous effective methods for solving them have been created. It is often impractical to find a purely analytical solution to a system described by a differential equation because either the system itself is too complex or the system being described is too vast. Numerical approaches and computer simulations are especially helpful in such systems. The content provided in this book involves real-world examples, explores research challenges in numerical treatment, and demonstrates how to create new numerical methods for resolving problems. Theories and practical applications in the sciences and engineering are also discussed. Students of engineering and applied mathematics, as well as researchers and engineers who use computers to solve problems numerically or oversee those who do, will find this book focusing on advance numerical techniques to solve linear and nonlinear differential equations useful.
Handbook Of Ordinary Differential Equations
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Author : Andrei D. Polyanin
language : en
Publisher: CRC Press
Release Date : 2017-11-15
Handbook Of Ordinary Differential Equations written by Andrei D. Polyanin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-15 with Mathematics categories.
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
New Trends In The Theory Of Hyperbolic Equations
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Author : Michael Reissig
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-19
New Trends In The Theory Of Hyperbolic Equations written by Michael Reissig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-19 with Mathematics categories.
This book presents several recent developments in the theory of hyperbolic equations. The carefully selected invited and peer-reviewed contributions deal with questions of low regularity, critical growth, ill-posedness, decay estimates for solutions of different non-linear hyperbolic models, and introduce new approaches based on microlocal methods.
Introduction To Inverse Problems For Differential Equations
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Author : Alemdar Hasanov Hasanoğlu
language : en
Publisher: Springer Nature
Release Date : 2021-08-02
Introduction To Inverse Problems For Differential Equations written by Alemdar Hasanov Hasanoğlu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-02 with Mathematics categories.
This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties. For the second edition, the authors have added two new chapters focusing on real-world applications of inverse problems arising in wave and vibration phenomena. They have also revised the whole text of the first edition.
Lectures Problems And Solutions For Ordinary Differential Equations
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Author : Deng Yuefan
language : en
Publisher: World Scientific
Release Date : 2014-09-02
Lectures Problems And Solutions For Ordinary Differential Equations written by Deng Yuefan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-02 with Mathematics categories.
This unique book on ordinary differential equations addresses practical issues of composing and solving such equations by large number of examples and homework problems with solutions. These problems originate in engineering, finance, as well as science at appropriate levels that readers with the basic knowledge of calculus, physics or economics are assumed able to follow.
Differential Equations
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Author : C. Henry Edwards
language : en
Publisher: Pearson
Release Date : 2018-01-15
Differential Equations written by C. Henry Edwards and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-15 with categories.
For one-semester sophomore- or junior-level courses in Differential Equations. Fosters the conceptual development and geometric visualization students need--now available with MyLab Math Differential Equations: Computing and Modeling blends traditional algebra problem-solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena--a comprehensive approach that makes accessible a wider range of more realistic applications. The book starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout. For the first time, MyLab(tm) Math is available for the 5th Edition, providing online homework with immediate feedback, the complete eText, and more. Also available with MyLab Math MyLab(tm) Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134996003 / 9780134996004 Differential Equations: Computing and Modeling Media Update and MyLab Math with Pearson eText -- Title-Specific Access Card Package, 5/e Package consists of: 0134850475 / 9780134850474 Differential Equations: Computing and Modeling Media Update 0134873084 / 9780134873084 MyLab Math plus Pearson eText - Standalone Access Card - for Differential Equations: Computing and Modeling Media Update