Differential Equation Based Solutions for Emerging Real-Time Problems PDF Download
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Author: Papiya Debnath
Publisher: CRC Press
ISBN: 1000961109
Category : Mathematics
Languages : en
Pages : 313
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Book Description
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.
Author: Papiya Debnath
Publisher: CRC Press
ISBN: 1000961109
Category : Mathematics
Languages : en
Pages : 313
Get Book Here
Book Description
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.
Author: Charles Henry Edwards
Publisher: Pearson
ISBN: 9780137540143
Category :
Languages : en
Pages : 0
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Book Description
For 1-semester sophomore- or junior-level Differential Equations courses. Balances concepts, visualization and applications Differential Equations and Boundary Value Problems fosters the conceptual development and geometric visualization essential to science and engineering students. Manual methods complement the computer-based methods that illuminate qualitative phenomena, opening up a wider range of more realistic applications. One text now meets all course needs. Courses not covering boundary value problems can use the 6th Edition with no added cost for that material. This revision also adds and updates content throughout, including an expanded Application Module that discusses COVID-19. Hallmark features of this title Emphasis on numerical methods includes early introduction of numerical solution techniques, mathematical modeling, stability and qualitative properties of differential equations, with generic numerical algorithms that can be implemented in various technologies. Application Modules follow key sections, most with computing projects that reinforce the corresponding text sections. Approximately 2000 problems range from computational to applied and conceptual problems. An expansive answer section includes answers to most odd- and even-numbered problems. Emphasis on technology and ODEs explores newer methods of computing differential equations, covering the software systems tailored specifically to differential equations as well as Maple, Mathematica and MATLAB. New and updated features of this title New content includes a new application of differential equations to the life sciences in Application Module 6.4: The Rayleigh, van der Pol, and FitzHugh-Nagumo Equations; The SIR Model and COVID-19. Characterized by the same careful and thorough exposition found throughout the text, this new unit gives students yet another perspective about differential equations. Extensively revised design: New use of full color enhances graphs and figures so that students can more easily discern different solutions in the figures. Added marginal notes aid in understanding the mathematics in the text; easier identification of application topics in the exercise set includes new run-in problem titles; new Your Turn headers in the Application Modules now clarify where the exposition ends and the students'' investigations begin. 16 new Interactive Figures illustrate how interactive computer applications withslider bars or touchpad controls can be used to change initial values or parameters in a differential equation, allowing students to immediately see in real time the resulting changes in the structure of its solutions. Using a mouse or touchpad, the initial point for an initial value problem can be dragged to a new location, and the corresponding solution curve is automatically redrawn and dragged along with its initial point. For examples, see Figures 1.3.5 and 3.2.4. Features of MyLab Math for the 6th Edition Additional Exercises with immediate feedback: Over 1000 assignable exercises are based on the textbook exercises, and regenerate algorithmically to give students unlimited opportunity for practice and mastery. MyLab Math provides helpful feedback when students enter incorrect answers and includes optional learning aids including Help Me Solve This, View an Example, videos, and an eText. New Set-up & Solve Exercises require students to describe how they will set up and approach the problem. This reinforces conceptual understanding of the process applied in approaching the problem, promotes long-term retention of the skill, and mirrors what students will be expected to do on a test. Instructional videos provide meaningful support as a learning aid within exercises, alongside key examples in the eText, or for self-study within the Video & Resource Library. Instructors can assign videos within MyLab homework, use videos in class, or offer as a supplementary resource on specific topics. Early Alerts are now included with Performance Analytics and use predictive analytics to identify struggling students, even if their assignment scores are not a cause for concern. In both Performance Analytics and Early Alerts, instructors can email students individually or by group to provide feedback. Learn more about MyLab Math.
Author: Simo Särkkä
Publisher: Cambridge University Press
ISBN: 1316510085
Category : Business & Economics
Languages : en
Pages : 327
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Book Description
With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author: Randall J. LeVeque
Publisher: SIAM
ISBN: 9780898717839
Category : Mathematics
Languages : en
Pages : 356
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Book Description
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: C. Edwards
Publisher: Pearson
ISBN: 9780321797001
Category : Boundary value problems
Languages : en
Pages : 0
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Book Description
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. Additionally, new presentation slides created by author David Calvis are now live in MyLab Math, available in Beamer (LaTeX) and PDF formats. The slides are ideal for both classroom lectures and student review, and combined with Calvis' superlative videos offer a level of support not found in any other Differential Equations course. 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
Author: Lennart Edsberg
Publisher: John Wiley & Sons
ISBN: 1119018447
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods. The author features a unique “Five-M” approach: Modeling, Mathematics, Methods, MATLAB®, and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes: New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin’s method for BVPs, parabolic and elliptic PDEs, and finite volume methods Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics® Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.
Author: H. S. Bear
Publisher: Courier Corporation
ISBN: 0486143643
Category : Mathematics
Languages : en
Pages : 226
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Book Description
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Author: Ernst Hairer
Publisher: Springer
ISBN: 3642052215
Category : Mathematics
Languages : en
Pages : 627
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Book Description
The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material including new numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes. From the reviews: "A superb book...Throughout, illuminating graphics, sketches and quotes from papers of researchers in the field add an element of easy informality and motivate the text." --MATHEMATICS TODAY
Author: Alparslan Gök, S?rma Zeynep
Publisher: IGI Global
ISBN: 1799801365
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.
