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Ordinary and Partial Differential Equations

2013-01-29 Mathematics
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Release : 2013-01-29
Genre : Mathematics
Kind : eBook
Book Rating : 007/5 ( reviews)

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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. This book was released on 2013-01-29. 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.

Ordinary And Partial Differential Equations For The Beginner

2016-05-24 Mathematics
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Release : 2016-05-24
Genre : Mathematics
Kind : eBook
Book Rating : 013/5 ( reviews)

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Book Synopsis Ordinary And Partial Differential Equations For The Beginner by : Laszlo Szekelyhidi

Download or read book Ordinary And Partial Differential Equations For The Beginner written by Laszlo Szekelyhidi. This book was released on 2016-05-24. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations.In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.

Ordinary and Partial Differential Equations

2008-11-13 Mathematics
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Release : 2008-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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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. This book was released on 2008-11-13. 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.

Finite Difference Methods for Ordinary and Partial Differential Equations

2007-01-01 Mathematics
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Release : 2007-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 839/5 ( reviews)

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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. This book was released on 2007-01-01. 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.

Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition)

2014-12-16 Mathematics
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Release : 2014-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 111/5 ( reviews)

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Book Synopsis Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition) by : Granville Sewell

Download or read book Numerical Solution Of Ordinary And Partial Differential Equations, The (3rd Edition) written by Granville Sewell. This book was released on 2014-12-16. Available in PDF, EPUB and Kindle. Book excerpt: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.The book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions.The Windows version of PDE2D comes free with every purchase of this book. More information at www.pde2d.com/contact.

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