Download or read book Solution of Differential Equations by Graphical and Numerical Means written by Paul Calter and published by . This book was released on 1976 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Differential Equations with Graphical and Numerical Methods written by Bernard W. Banks and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents analytical, graphical and numerical methods in a unified way—as methods of solution and as means of illuminating concepts. Numerical methods are introduced in the first chapter, interpreted in the light of graphics, and provide the core theme around which the first seven chapters revolve. These chapter titles are: The First Order Equationy = f(x,y); First Order Systems Introduction; Higher Order Linear Equations; First Order Systems — Linear Methods; Series Methods and Famous Functions; and Bifurcations and Chaos. The other three chapters cover the laplace transform; partial differential equations and fourier series; and the finite differences method. A unique combination of the traditional topics of differential equations and computer graphics, for anyone interested in taking advantage of this learning package.
Download or read book CK 12 Calculus written by CK-12 Foundation and published by CK-12 Foundation. This book was released on 2010-08-15 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: CK-12 Foundation's Single Variable Calculus FlexBook introduces high school students to the topics covered in the Calculus AB course. Topics include: Limits, Derivatives, and Integration.
Download or read book Differential Equations written by Marian Mureşan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-06-17 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book concerns with solving about 650 ordinary and partial differential equations. Each equation has at least one solution and each solution has at least one coloured graph. The coloured graphs reveal different features of the solutions. Some graphs are dynamical as for Clairaut differential equations. Thus, one can study the general and the singular solutions. All the equations are solved by Mathematica. The first chapter contains mathematical notions and results that are used later through the book. Thus, the book is self-contained that is an advantage for the reader. The ordinary differential equations are treated in Chapters 2 to 4, while the partial differential equations are discussed in Chapters 5 to 10. The book is useful for undergraduate and graduate students, for researchers in engineering, physics, chemistry, and others. Chapter 9 treats parabolic partial differential equations while Chapter 10 treats third and higher order nonlinear partial differential equations, both with modern methods. Chapter 10 discusses the Korteweg-de Vries, Dodd-Bullough-Mikhailov, Tzitzeica-Dodd-Bullough, Benjamin, Kadomtsev-Petviashvili, Sawada-Kotera, and Kaup-Kupershmidt equations.
Download or read book Differential Equations with Mathematica written by Martha L. Abell and published by Academic Press. This book was released on 2016-09-19 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica's outstanding graphics capabilities. - Demonstrates how to take advantage of the advanced features of Mathematica 10 - Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists, and practitioners in many fields - Showcases practical applications and case studies drawn from biology, physics, and engineering
Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.
Download or read book Special Lecture written by Hillel Poritsky and published by . This book was released on 1941 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Course in Ordinary Differential Equations written by Stephen A. Wirkus and published by CRC Press. This book was released on 2006-10-23 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o
Download or read book Graphical and Numerical Methods of Solving Partial Differential Equations written by Hillel Pritsky and published by . This book was released on 1941 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Ordinary Differential Equations with Mathematica written by Alfred Gray and published by Springer. This book was released on 1997-06-20 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.
Download or read book Introduction to Partial Differential Equations with MATLAB written by Jeffery M. Cooper and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Modelling with Ordinary Differential Equations written by T.P. Dreyer and published by Routledge. This book was released on 2017-09-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.
Download or read book Differential Equations written by Paul W. Davis and published by . This book was released on 1999 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: For undergraduate engineering and science courses in Differential Equations. This progressive text on differential equations utilizes MATLAB's state-of-the-art computational and graphical tools right from the start to help students probe a variety of mathematical models. Ideas are examined from four perspectives: geometric, analytic, numeric, and physical. Students are encouraged to develop problem-solving skills and independent judgment as they derive models, select approaches to their analysis, and find answers to the original, physical questions. Both qualitative and algebraic tools are stressed.*Balancing the qualitative with the algebraic, the text exposes students in the first two chapters to fundamental qualitative ides such as direction fields, steady states, stability, etc. Then graphical interpretation, analytic solutions, and numerical tools are developed to allow students to examine nonlinear problems and systems or equations. This is done in conjunction with covering the most important traditional, analytic methods*Many exercises are posed from the physical perspective of the models under study in order to nurture students' ability to easily shift between theoretical/m
Download or read book Introduction to Differential Equations written by Raymond M. Redheffer and published by Jones & Bartlett Learning. This book was released on 1992 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics
Download or read book Analytical and Numerical Aspects of Partial Differential Equations written by Etienne Emmrich and published by Walter de Gruyter. This book was released on 2009-07-14 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.
Download or read book Elementary Differential Equations written by Charles Roberts and published by CRC Press. This book was released on 2018-12-13 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Differential Equations, Second Edition is written with the knowledge that there has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the way the topic has been taught in introductory courses has barely changed to reflect these advances, which leaves students at a disadvantage. This second edition has been created to address these changes and help instructors facilitate new teaching methods and the latest tools, which includes computers. The text is designed to help instructors who want to use computers in their classrooms. It accomplishes this by emphasizing and integrating computers in teaching elementary or ordinary differential equations. Many examples and exercises included in the text require the use of computer software to solve problems. It should be noted that since instructors use their own preferred software, this book has been written to be independent of any specific software package. Features: Focuses on numerical methods and computing to generate solutions Features extensive coverage of nonlinear differential equations and nonlinear systems Includes software programs to solve problems in the text which are located on the author's website Contains a wider variety of non-mathematical models than any competing textbook This second edition is a valuable, up-to-date tool for instructors teaching courses about differential equations. It serves as an excellent introductory textbook for undergraduate students majoring in applied mathematics, computer science, various engineering disciplines and other sciences. They also will find that the textbook will aide them greatly in their professional careers because of its instructions on how to use computers to solve equations.
Download or read book Schaum s Outline of Differential Equations Fifth Edition written by Richard Bronson and published by McGraw Hill Professional. This book was released on 2021-11-12 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study smarter and stay on top of your differential equations course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website! Schaum’s Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and mirrors the course in scope and sequence, this book helps you understand basic concepts and get the extra practice you need to excel in the course. It supports the all major differential equations textbooks and is useful for study in Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations and Differential Equations. Chapters include an Introduction to Modeling and Qualitative Methods, Classifications of First-Order Differential Equations, Linear Differential Equations, Variation of Parameters, Initial-Value Problems for Linear Differential Equations, Graphical and Numerical Methods for Solving First-Order Differential Equations, Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms, and more. Features: NEW to this edition: the new Schaum’s app and website! NEW CHAPTERS include Autonomous Differential Equations and Qualitative Methods; Eigenvalues and Eigenvectors; three chapters dealing with Solutions of Systems of Autonomous Equations via Eigenvalues and Eigenvectors (real and distinct, real and equal, and complex conjugate Eigenvalues) 20 problem-solving videos online 563 solved problems Outline format provides a quick and easy review of differential equations Clear, concise explanations of differential equations concepts Hundreds of examples with explanations of key concepts Supports all major textbooks for differential equations courses Appropriate for the following courses: Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations, and Differential Equations
