Ordinary and Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387791469
Total Pages : 422 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Ordinary and Partial Differential Equations by : Ravi P. Agarwal

Download or read book Ordinary and Partial Differential Equations written by Ravi P. Agarwal and published by Springer Science & Business Media. This book was released on 2008-11-13 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Ordinary and Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 1466515007
Total Pages : 647 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Ordinary and Partial Differential Equations by : Victor Henner

Download or read book Ordinary and Partial Differential Equations written by Victor Henner and published by CRC Press. This book was released on 2013-01-29 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers ODEs and PDEs—in One Textbook Until now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn’t exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software. Teaches the Key Topics in Differential Equations The text includes all the topics that form the core of a modern undergraduate or beginning graduate course in differential equations. It also discusses other optional but important topics such as integral equations, Fourier series, and special functions. Numerous carefully chosen examples offer practical guidance on the concepts and techniques. Guides Students through the Problem-Solving Process Requiring no user programming, the accompanying computer software allows students to fully investigate problems, thus enabling a deeper study into the role of boundary and initial conditions, the dependence of the solution on the parameters, the accuracy of the solution, the speed of a series convergence, and related questions. The ODE module compares students’ analytical solutions to the results of computations while the PDE module demonstrates the sequence of all necessary analytical solution steps.

Finite Difference Methods for Ordinary and Partial Differential Equations

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Publisher : SIAM
ISBN 13 : 9780898717839
Total Pages : 356 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Finite Difference Methods for Ordinary and Partial Differential Equations by : Randall J. LeVeque

Download or read book Finite Difference Methods for Ordinary and Partial Differential Equations written by Randall J. LeVeque and published by SIAM. This book was released on 2007-01-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ordinary and Partial Differential Equations

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Publisher :
ISBN 13 : 9780982406236
Total Pages : 418 pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Ordinary and Partial Differential Equations by : John W. Cain

Download or read book Ordinary and Partial Differential Equations written by John W. Cain and published by . This book was released on 2010-08-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations arise in a variety of contexts, some purely theoretical and some of practical interest. As you read this textbook, you will find that the qualitative and quantitative study of differential equations incorporates an elegant blend of linear algebra and advanced calculus. This book is intended for an advanced undergraduate course in differential equations. The reader should have already completed courses in linear algebra, multivariable calculus, and introductory differential equations.

Introduction to Partial Differential Equations with Applications

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Publisher : Courier Corporation
ISBN 13 : 048613217X
Total Pages : 434 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Partial Differential Equations with Applications by : E. C. Zachmanoglou

Download or read book Introduction to Partial Differential Equations with Applications written by E. C. Zachmanoglou and published by Courier Corporation. This book was released on 2012-04-20 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Stochastic Ordinary and Stochastic Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387743170
Total Pages : 452 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Stochastic Ordinary and Stochastic Partial Differential Equations by : Peter Kotelenez

Download or read book Stochastic Ordinary and Stochastic Partial Differential Equations written by Peter Kotelenez and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail. Coverage first describes the transition from the microscopic equations to the mesoscopic equations. It then covers a general system for the positions of the large particles.

A Treatise on Ordinary and Partial Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis A Treatise on Ordinary and Partial Differential Equations by : William Woolsey Johnson

Download or read book A Treatise on Ordinary and Partial Differential Equations written by William Woolsey Johnson and published by . This book was released on 1889 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary and Partial Differential Equations

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Publisher : S. Chand Publishing
ISBN 13 : 9385676164
Total Pages : 1161 pages
Book Rating : 4.3/5 (856 download)

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Book Synopsis Ordinary and Partial Differential Equations by : M.D.Raisinghania

Download or read book Ordinary and Partial Differential Equations written by M.D.Raisinghania and published by S. Chand Publishing. This book was released on with total page 1161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations

Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849743
Total Pages : 778 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partial Differential Equations by : Lawrence C. Evans

Download or read book Partial Differential Equations written by Lawrence C. Evans and published by American Mathematical Soc.. This book was released on 2010 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail...Evans' book is evidence of his mastering of the field and the clarity of presentation (Luis Caffarelli, University of Texas) It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations ...Every graduate student in analysis should read it. (David Jerison, MIT) I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's ...I am very happy with the preparation it provides my students. (Carlos Kenig, University of Chicago) Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge ...An outstanding reference for many aspects of the field. (Rafe Mazzeo, Stanford University.

Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB

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Publisher : CRC Press
ISBN 13 : 0203010515
Total Pages : 528 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB by : H.J. Lee

Download or read book Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB written by H.J. Lee and published by CRC Press. This book was released on 2003-11-24 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin

Applications of Lie's Theory of Ordinary and Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 9781420050783
Total Pages : 242 pages
Book Rating : 4.0/5 (57 download)

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Book Synopsis Applications of Lie's Theory of Ordinary and Partial Differential Equations by : L Dresner

Download or read book Applications of Lie's Theory of Ordinary and Partial Differential Equations written by L Dresner and published by CRC Press. This book was released on 1998-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.

Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations

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Publisher : World Scientific
ISBN 13 : 9789810213572
Total Pages : 328 pages
Book Rating : 4.2/5 (135 download)

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Book Synopsis Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations by : Ratan Prakash Agarwal

Download or read book Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations written by Ratan Prakash Agarwal and published by World Scientific. This book was released on 1993 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

Partial Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486469190
Total Pages : 276 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Partial Differential Equations by : Avner Friedman

Download or read book Partial Differential Equations written by Avner Friedman and published by Courier Corporation. This book was released on 2008-11-24 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.

Mathematical Physics with Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 0123869110
Total Pages : 431 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Mathematical Physics with Partial Differential Equations by : James Kirkwood

Download or read book Mathematical Physics with Partial Differential Equations written by James Kirkwood and published by Academic Press. This book was released on 2012-01-20 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

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Publisher : John Wiley & Sons
ISBN 13 : 1118031504
Total Pages : 834 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB by : Alexander Stanoyevitch

Download or read book Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB written by Alexander Stanoyevitch and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ordinary and Partial Differential Equations

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Publisher :
ISBN 13 : 9781682858240
Total Pages : 224 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis Ordinary and Partial Differential Equations by : Patrick McCann

Download or read book Ordinary and Partial Differential Equations written by Patrick McCann and published by . This book was released on 2020-09-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The statement which expresses the equality of two expressions is known as an equation. A differential equation is a kind of mathematical equation that shows the connection between a function and its derivatives. Functions represent the physical quantities and derivatives show their rates of change. The differential equation seeks to define the relationship between the two. It can be classified into various types such as ordinary differential equations and partial differential equations. Ordinary differential equation contains one or more than one function of an independent variable. It is related to the derivatives of these functions. Partial differential equations contain unknown multi-variable functions as well as their partial derivatives. These are generally used to formulate problems which contain functions of several variables. The topics included in this book on ordinary and partial differential equations are of utmost significance and bound to provide incredible insights to readers. It presents researches and studies performed by experts across the globe. This book is appropriate for students seeking detailed information in this area as well as for experts.

Ordinary and Partial Differential Equations

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Publisher : Nova Science Publishers
ISBN 13 : 9781634832274
Total Pages : 0 pages
Book Rating : 4.8/5 (322 download)

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Book Synopsis Ordinary and Partial Differential Equations by : Raymond Brewer

Download or read book Ordinary and Partial Differential Equations written by Raymond Brewer and published by Nova Science Publishers. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disease in the prey population increases the risk of prey outcomes in predation or to be harvested. In this book, an eco-epidemiological model consisting of predator-prey model with SIS disease in the prey population is proposed and analysed. Furthermore, the authors discuss a mathematical S-E-I-L (Susceptible-Latently infected-Infected-Lost of sight) model for the spread of a directly transmitted infectious disease in an age-structured population; examine how starting from the classical Chebyshev ordinary differential equation (ODE), a generic realisation of its Lie algebra of point symmetries sl(3;R) is obtained in terms of the Chebyshev polynomials of first and second kind; and give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu model.