Share

Applied Differential Equations with Boundary Value Problems

2017-10-19 Mathematics
Download Applied Differential Equations with Boundary Value Problems PDF Online Free

Author :
Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 727/5 ( reviews)

GET EBOOK


Book Synopsis Applied Differential Equations with Boundary Value Problems by : Vladimir Dobrushkin

Download or read book Applied Differential Equations with Boundary Value Problems written by Vladimir Dobrushkin. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s popular textbook adds coverage of boundary value problems. The text covers traditional material, along with novel approaches to mathematical modeling that harness the capabilities of numerical algorithms and popular computer software packages. It contains practical techniques for solving the equations as well as corresponding codes for numerical solvers. Many examples and exercises help students master effective solution techniques, including reliable numerical approximations. This book describes differential equations in the context of applications and presents the main techniques needed for modeling and systems analysis. It teaches students how to formulate a mathematical model, solve differential equations analytically and numerically, analyze them qualitatively, and interpret the results.

Partial Differential Equations and Boundary-Value Problems with Applications

2011 Mathematics
Download Partial Differential Equations and Boundary-Value Problems with Applications PDF Online Free

Author :
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 896/5 ( reviews)

GET EBOOK


Book Synopsis Partial Differential Equations and Boundary-Value Problems with Applications by : Mark A. Pinsky

Download or read book Partial Differential Equations and Boundary-Value Problems with Applications written by Mark A. Pinsky. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

500 Examples and Problems of Applied Differential Equations

2019-09-24 Mathematics
Download 500 Examples and Problems of Applied Differential Equations PDF Online Free

Author :
Release : 2019-09-24
Genre : Mathematics
Kind : eBook
Book Rating : 843/5 ( reviews)

GET EBOOK


Book Synopsis 500 Examples and Problems of Applied Differential Equations by : Ravi P. Agarwal

Download or read book 500 Examples and Problems of Applied Differential Equations written by Ravi P. Agarwal. This book was released on 2019-09-24. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more. Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.

Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems

2018-09-18 Mathematics
Download Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems PDF Online Free

Author :
Release : 2018-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 042/5 ( reviews)

GET EBOOK


Book Synopsis Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems by : John R Graef

Download or read book Ordinary Differential Equations And Boundary Value Problems - Volume Ii: Boundary Value Problems written by John R Graef. This book was released on 2018-09-18. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues.The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.While this Volume II complements , it can be used as a stand-alone work.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version)

2018-03-15 Boundary value problems
Download Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) PDF Online Free

Author :
Release : 2018-03-15
Genre : Boundary value problems
Kind : eBook
Book Rating : 434/5 ( reviews)

GET EBOOK


Book Synopsis Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) by : Richard Haberman

Download or read book Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version) written by Richard Haberman. This book was released on 2018-03-15. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.

You may also like...