Handbook Of Exact Solutions For Ordinary Differential Equations

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Handbook of Exact Solutions for Ordinary Differential Equations

Author : Valentin F. Zaitsev,Andrei D. Polyanin
Publisher : CRC Press
Page : 815 pages
File Size : 43,6 Mb
Release : 2002-10-28
Category : Mathematics
ISBN : 9781420035339

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Handbook of Exact Solutions for Ordinary Differential Equations by Valentin F. Zaitsev,Andrei D. Polyanin Pdf

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo

Handbook of Ordinary Differential Equations

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 1496 pages
File Size : 40,7 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9781466569409

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Handbook of Ordinary Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.

Handbook of Nonlinear Partial Differential Equations

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 835 pages
File Size : 42,5 Mb
Release : 2004-06-02
Category : Mathematics
ISBN : 9781135440817

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Handbook of Nonlinear Partial Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

Handbook of Linear Partial Differential Equations for Engineers and Scientists

Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 800 pages
File Size : 47,7 Mb
Release : 2001-11-28
Category : Mathematics
ISBN : 9781420035322

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Handbook of Linear Partial Differential Equations for Engineers and Scientists by Andrei D. Polyanin Pdf

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with

CRC Handbook of Lie Group Analysis of Differential Equations

Author : Nail H. Ibragimov
Publisher : CRC Press
Page : 572 pages
File Size : 45,5 Mb
Release : 1995-10-24
Category : Mathematics
ISBN : 0849394198

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CRC Handbook of Lie Group Analysis of Differential Equations by Nail H. Ibragimov Pdf

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Handbook of Differential Equations

Author : Daniel Zwillinger
Publisher : Academic Press
Page : 694 pages
File Size : 41,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483220963

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Handbook of Differential Equations by Daniel Zwillinger Pdf

Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

CRC Handbook of Lie Group Analysis of Differential Equations

Author : Nail H. Ibragimov
Publisher : CRC Press
Page : 452 pages
File Size : 42,5 Mb
Release : 1993-10-20
Category : Mathematics
ISBN : 0849344883

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CRC Handbook of Lie Group Analysis of Differential Equations by Nail H. Ibragimov Pdf

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Handbook of Nonlinear Partial Differential Equations, Second Edition

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : Chapman and Hall/CRC
Page : 0 pages
File Size : 49,8 Mb
Release : 2011-12-16
Category : Mathematics
ISBN : 1420087231

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Handbook of Nonlinear Partial Differential Equations, Second Edition by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabolic, hyperbolic, elliptic, and other systems of equations with solutions Some exact methods and transformations Symbolic and numerical methods for solving nonlinear PDEs with MapleTM, Mathematica®, and MATLAB® Many new illustrative examples and tables A large list of references consisting of over 1,300 sources To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology. They outline the methods in a schematic, simplified manner and arrange the material in increasing order of complexity.

Handbook of First-Order Partial Differential Equations

Author : Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux
Publisher : CRC Press
Page : 520 pages
File Size : 42,7 Mb
Release : 2001-11-15
Category : Mathematics
ISBN : 9781482263084

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Handbook of First-Order Partial Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux Pdf

This book contains about 3000 first-order partial differential equations with solutions. New exact solutions to linear and nonlinear equations are included. The text pays special attention to equations of the general form, showing their dependence upon arbitrary functions. At the beginning of each section, basic solution methods for the correspondi

Handbook of Integral Equations

Author : Andrei D. Polyanin,Alexander V. Manzhirov
Publisher : CRC Press
Page : 1143 pages
File Size : 46,6 Mb
Release : 2008-02-12
Category : Mathematics
ISBN : 9780203881057

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Handbook of Integral Equations by Andrei D. Polyanin,Alexander V. Manzhirov Pdf

Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa

Symmetry Methods for Differential Equations

Author : Peter Ellsworth Hydon
Publisher : Cambridge University Press
Page : 230 pages
File Size : 43,6 Mb
Release : 2000-01-28
Category : Mathematics
ISBN : 0521497868

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Symmetry Methods for Differential Equations by Peter Ellsworth Hydon Pdf

An introduction to symmetry methods, informally written and aimed at applied mathematicians, physicists, and engineers.

Handbook of Exact Solutions for Ordinary Differential Equations

Author : Andrei D. Polyanin,V. F. Zaitsev
Publisher : CRC Press
Page : 728 pages
File Size : 46,6 Mb
Release : 1995-05-09
Category : Mathematics
ISBN : UOM:39015039908176

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Handbook of Exact Solutions for Ordinary Differential Equations by Andrei D. Polyanin,V. F. Zaitsev Pdf

The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage in this volume includes equations that are of interest to researchers but difficult to integrate (Abel equations, Emden-Fowler equations, Painleve equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields.

The Handbook of Integration

Author : Daniel Zwillinger
Publisher : CRC Press
Page : 384 pages
File Size : 44,9 Mb
Release : 1992-11-02
Category : Mathematics
ISBN : 9781439865842

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The Handbook of Integration by Daniel Zwillinger Pdf

This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work. From the table of contents: - Applications of Integration - Concepts and Definitions - Exact Analytical Methods - Approximate Analytical Methods - Numerical Methods: Concepts - Numerical Methods: Techniques

Handbook of Differential Equations

Author : Daniel Zwillinger
Publisher : Gulf Professional Publishing
Page : 842 pages
File Size : 49,8 Mb
Release : 1998
Category : Mathematics
ISBN : 0127843965

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Handbook of Differential Equations by Daniel Zwillinger Pdf

This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs