Differential Equation Solutions With Matlabr PDF Download
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Author | : Dingyü Xue |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 417 |
Release | : 2020-04-06 |
Genre | : Computers |
ISBN | : 3110675315 |
Download Differential Equation Solutions with MATLAB® Book in PDF, ePub and Kindle
This book focuses the solutions of differential equations with MATLAB. Analytical solutions of differential equations are explored first, followed by the numerical solutions of different types of ordinary differential equations (ODEs), as well as the universal block diagram based schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.
Author | : Gilbert Strang |
Publisher | : Wellesley-Cambridge Press |
Total Pages | : 0 |
Release | : 2015-02-12 |
Genre | : Mathematics |
ISBN | : 9780980232790 |
Download Differential Equations and Linear Algebra Book in PDF, ePub and Kindle
Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.
Author | : Lawrence F. Shampine |
Publisher | : Cambridge University Press |
Total Pages | : 276 |
Release | : 2003-04-28 |
Genre | : Computers |
ISBN | : 9780521530941 |
Download Solving ODEs with MATLAB Book in PDF, ePub and Kindle
This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
Author | : Jichun Li |
Publisher | : CRC Press |
Total Pages | : 423 |
Release | : 2019-09-26 |
Genre | : Mathematics |
ISBN | : 0429556535 |
Download Computational Partial Differential Equations Using MATLAB® Book in PDF, ePub and Kindle
In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.
Author | : William E. Schiesser |
Publisher | : Cambridge University Press |
Total Pages | : 491 |
Release | : 2009-03-16 |
Genre | : Computers |
ISBN | : 0521519861 |
Download A Compendium of Partial Differential Equation Models Book in PDF, ePub and Kindle
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Author | : Dingyü Xue |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 388 |
Release | : 2017-07-10 |
Genre | : Mathematics |
ISBN | : 3110497190 |
Download Fractional-Order Control Systems Book in PDF, ePub and Kindle
This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms
Author | : P. Mohana Shankar |
Publisher | : CRC Press |
Total Pages | : 448 |
Release | : 2018-04-17 |
Genre | : Mathematics |
ISBN | : 1351385747 |
Download Differential Equations Book in PDF, ePub and Kindle
The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions and comparison of solutions. A large number of comprehensive examples are provided to show depth and breadth and these are presented in a manner very similar to the instructor's class room work. The examples contain solutions from Laplace transform based approaches alongside the solutions based on eigenvalues and eigenvectors and characteristic equations. The verification of the results in examples is additionally provided using Runge-Kutta offering a holistic means to interpret and understand the solutions. Wherever necessary, phase plots are provided to support the analytical results. All the examples are worked out using MATLAB® taking advantage of the Symbolic Toolbox and LaTex for displaying equations. With the subject matter being presented through these descriptive examples, students will find it easy to grasp the concepts. A large number of exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.
Author | : Cleve B. Moler |
Publisher | : SIAM |
Total Pages | : 340 |
Release | : 2010-08-12 |
Genre | : Computers |
ISBN | : 0898716608 |
Download Numerical Computing with MATLAB Book in PDF, ePub and Kindle
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
Author | : Ali Ümit Keskin |
Publisher | : Springer |
Total Pages | : 786 |
Release | : 2018-09-01 |
Genre | : Technology & Engineering |
ISBN | : 3319952439 |
Download Ordinary Differential Equations for Engineers Book in PDF, ePub and Kindle
This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.
Author | : Jeffery M. Cooper |
Publisher | : Springer Science & Business Media |
Total Pages | : 549 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461217547 |
Download Introduction to Partial Differential Equations with MATLAB Book in PDF, ePub and Kindle
Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. The core consists of solution methods, mainly separation of variables, for boundary value problems with constant coeffi cients in geometrically simple domains. Too often an introductory course focuses exclusively on these core problems and techniques and leaves the student with the impression that there is no more to the subject. Questions of existence, uniqueness, and well-posedness are ignored. In particular there is a lack of connection between the analytical side of the subject and the numerical side. Furthermore nonlinear problems are omitted because they are too hard to deal with analytically. Now, however, the availability of convenient, powerful computational software has made it possible to enlarge the scope of the introductory course. My goal in this text is to give the student a broader picture of the subject. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods. I feel that it is important for the student to see nonlinear problems and numerical methods at the beginning of the course, and not at the end when we run usually run out of time. Furthermore, numerical methods should be introduced for each equation as it is studied, not lumped together in a final chapter.