Differential Equations With Matlab
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Differential Equations With Matlab
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Author : Mark McKibben
language : en
Publisher: CRC Press
Release Date : 2014-09-08
Differential Equations With Matlab written by Mark McKibben and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.
A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.
Introduction To Partial Differential Equations With Matlab
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Author : Jeffery M. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Introduction To Partial Differential Equations With Matlab written by Jeffery M. Cooper 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 2012-12-06 with Mathematics categories.
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.
Differential Equations With Matlab
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Author : Brian R. Hunt
language : en
Publisher: Wiley
Release Date : 2005-01-24
Differential Equations With Matlab written by Brian R. Hunt and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-24 with Mathematics categories.
"Differential Equations with MATLAB" (2nd ed.) by B. Hunt, R. Lipsman, J.Osborn and J.Rosenberg is a supplemental text that can enrich and enhance any first course in ordinary differential equations. Designed to accompany Wiley's ODE texts written by Boyce/DiPrima, Borrelli/Coleman and Lomen/Lovelock, this supplement helps instructors move towards an earlier use of numerical and geometric methods, place a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs. By providing an introduction to the software that is integrated with the relevant mathematics, "Differential Equations with MATLAB" can perfectly complement and enhance these texts.
Differential Equation Solutions With Matlab
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Author : Dingyü Xue
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-04-06
Differential Equation Solutions With Matlab written by Dingyü Xue and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Computers categories.
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.
Calculus And Differential Equations With Matlab
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Author : Pramote Dechaumphai
language : en
Publisher:
Release Date : 2016
Calculus And Differential Equations With Matlab written by Pramote Dechaumphai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Calculus categories.
Calculus and Differential Equations with MATLAB presents a clear, easy-to-understand on how to use MATLAB to solve calculus and differential equation problems. The book contains eleven chapters with essential materials that are taught in calculus and differential equation courses. These include: Limits, differentiation and integration ; Taylor, maclaurin and other infinite series ; Ordinary differential equations ; Laplace and Fourier transforms ; Partial differential equations ; Numerical and finite element methods ; Special functions (error, gamma, beta, Bessel, Airy, Legendre, etc.) Exact solutions are derived before showing MATLAB commands to provide the same solutions. Numerical methods are used to obtain approximate solutions when exact solutions are not available. The book contains a large number of examples and homework problems to demonstrate the capability of symbolic mathematics in MATLAB for solving calculus and differential equation problems. --
Differential Equations With Matlab Examples And Exercises
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Author : Cesar Perez Lopez
language : en
Publisher: CreateSpace
Release Date : 2013-11
Differential Equations With Matlab Examples And Exercises written by Cesar Perez Lopez and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11 with categories.
MATLAB is a platform for scientific computing that allows to work in virtually all areas of experimental sciences and engineering. Logically, this software allows to work in the field of differential equations presenting quite extensive capabilities. The number of commands that implements relating to differential equations Matlab is quite high and very efficient. In addition, it is possible to continue with the program methods manual resolution algebraic already known for each type of differential equation. Approximate methods of resolution of equations, systems of differential equations and differential equations in partial derivatives are also implemented. This book addresses all these materials to develop the following topics: Introduction practices to matlab Numerical calculus with matlab Symbolic calculus with matlab Matlab and maple Graphics with matlab General notation Help with commands Escape and exit to the environment ms-dos commands Matlab and programming First order differential equations. Exact equations, separate variables, homogeneous and linear equations First order differential equations Equations in separated variables Homogeneous differential equations Exact differential equations Linear differential equations Differential equations of order superior. Transformed of laplace and special types of equations Ordinary high -order equations Linear higher-order equations. Homogeneous in constant coefficients equations. Equations in constant coefficient homogeneous. Variation of parameters Non-homogeneous equations with variable coefficients. Cauchy -euler equations Laplace transformed Orthogonal polynomials Bessel and airy functions Differential equations for aproximate methods Equations with superior order and grade, linear and nonlinear approximate methods Taylor series method Runge -kutta method Systems differential equations and equations in finite differences Systems homogeneous linear equations with constant coefficients Systems of equations and linear not homo disposed with constant coefficients Equations in finite differences Differential equations in partial derivatives Numerical calclus with matlab. Applications to differential equations Matlab and programming Text editor Scripts Functions and m-ficheros. Function, eval and feval Local and global variables Data types Bucles for, while e if elseif The for loop The while loop If elseif else end loop Switch and case Continue Break Try ... Catch Return Subfeatures Ordinary differential equations using methods of numerical calculus Euler method Heun method The taylor series method Equations in difference with the initial values, values on the border and in partial derivatives Solution numerical differential equations Ordinary differential equations with initial values Ordinary differential equations with values in the border Differential equations in partial derivatives
An Introduction To Partial Differential Equations With Matlab
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Author : Matthew P. Coleman
language : en
Publisher: CRC Press
Release Date : 2024-07
An Introduction To Partial Differential Equations With Matlab written by Matthew P. Coleman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07 with Mathematics categories.
This 3rd edition changes the book structure by lifing the role of the computational part closer to the revised analytical portion. Useful for students of mathematics, physics and engineering who would like to focus on the practical aspects of using the theory of PDEs for modeling while later taking various courses in numbrical analysis.
Differential Equations
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Author : Kevin R. Coombes
language : en
Publisher: Wiley
Release Date : 1999-06-02
Differential Equations written by Kevin R. Coombes and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-02 with Mathematics categories.
Solving Odes With Matlab
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Author : L. F. Shampine
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-28
Solving Odes With Matlab written by L. F. Shampine and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-28 with Computers categories.
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.
Introduction To Partial Differential Equations With Matlab
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Author : Jeffery Cooper
language : en
Publisher: Birkhauser
Release Date : 1998
Introduction To Partial Differential Equations With Matlab written by Jeffery Cooper and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Differential equations, Partial categories.
The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. Introduction to Partial Differential Equations with MATLAB is a careful integration of traditional core topics with modern topics, taking full advantage of the computational power of MATLAB to enhance the learning experience. This advanced text/reference is an introduction to partial differential equations covering the traditional topics within a modern context. To provide an up-to-date treatment, techniques of numerical computation have been included with carefully selected nonlinear topics, including nonlinear first order equations. Each equation studied is placed in the appropriate physical context. The analytical aspects of solutions are discussed in an integrated fashion with extensive examples and exercises, both analytical and computational. The book is excellent for classroom use and can be used for self-study purposes. Topic and Features: Nonlinear equati.