A Method For Determining The Parameters Of Ordinary Differential Equations

Author : Charles Eugene Knadler
Publisher : Unknown
Page : 58 pages
File Size : 52,6 Mb
Release : 1968
Category : Differential equations
ISBN : UOM:39015095150390

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A Method for Determining the Parameters of Ordinary Differential Equations by Charles Eugene Knadler Pdf

The report presents a method for determining the parameters of ordinary differential equations, where it is not necessary that the equation have a closed-form solution. DIFRED, a computer data-reduction program utilizing the method, is also described. The program is written for an IBM 7090 computer operating under the IBSYS monitor. The mathematical formulation of the method is presented, and the FORTRAN listing of DIFRED and instructions for its use are included. (Author).

Author : George F. Carrier,Carl E. Pearson
Publisher : SIAM
Page : 230 pages
File Size : 42,6 Mb
Release : 1968-01-01
Category : Mathematics
ISBN : 1611971292

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Ordinary Differential Equations by George F. Carrier,Carl E. Pearson Pdf

Offers an alternative to the "rote" approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.

Author : George Moseley Murphy
Publisher : Courier Corporation
Page : 466 pages
File Size : 44,5 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780486485911

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Ordinary Differential Equations and Their Solutions by George Moseley Murphy Pdf

This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

Author : Daniel Zwillinger,Vladimir Dobrushkin
Publisher : CRC Press
Page : 737 pages
File Size : 50,8 Mb
Release : 2021-12-30
Category : Mathematics
ISBN : 9781000468168

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Handbook of Differential Equations by Daniel Zwillinger,Vladimir Dobrushkin Pdf

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers. The book is a compilation of methods for solving and approximating differential equations. These include the most widely applicable methods for solving and approximating differential equations, as well as numerous methods. Topics include methods for ordinary differential equations, partial differential equations, stochastic differential equations, and systems of such equations. Included for nearly every method are: 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 The fourth edition includes corrections, many supplied by readers, as well as many new methods and techniques. These new and corrected entries make necessary improvements in this edition.

Author : L. V. Ovsiannikov
Publisher : Academic Press
Page : 433 pages
File Size : 48,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483219066

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Group Analysis of Differential Equations by L. V. Ovsiannikov Pdf

Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role.

Author : T.P. Dreyer
Publisher : Routledge
Page : 190 pages
File Size : 48,8 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9781351430692

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Modelling with Ordinary Differential Equations by T.P. Dreyer Pdf

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.

Author : Sergey V. Meleshko
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 40,7 Mb
Release : 2006-06-18
Category : Technology & Engineering
ISBN : 9780387252650

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Methods for Constructing Exact Solutions of Partial Differential Equations by Sergey V. Meleshko Pdf

Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions of differential equations play an important role in applied mathematics and mechanics. This book aims to provide scientists, engineers and students with an easy-to-follow, but comprehensive, description of the methods for constructing exact solutions of differential equations.

Author : Jaya P. N. Bishwal
Publisher : Springer
Page : 268 pages
File Size : 41,5 Mb
Release : 2007-09-26
Category : Mathematics
ISBN : 9783540744481

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Parameter Estimation in Stochastic Differential Equations by Jaya P. N. Bishwal Pdf

Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods.

Author : James Morris Page
Publisher : Unknown
Page : 252 pages
File Size : 51,8 Mb
Release : 1897
Category : Mathematics
ISBN : NYPL:33433069058315

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Ordinary Differential Equations by James Morris Page Pdf

Author : L Dresner
Publisher : CRC Press
Page : 242 pages
File Size : 44,8 Mb
Release : 1998-01-01
Category : Science
ISBN : 1420050788

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Applications of Lie's Theory of Ordinary and Partial Differential Equations by L Dresner Pdf

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.

Author : Stephen A. Wirkus,Randall J. Swift
Publisher : CRC Press
Page : 689 pages
File Size : 41,7 Mb
Release : 2006-10-23
Category : Mathematics
ISBN : 9781420010411

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A Course in Ordinary Differential Equations by Stephen A. Wirkus,Randall J. Swift Pdf

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

Author : G. Hall,James Murray Watt
Publisher : Oxford University Press, USA
Page : 358 pages
File Size : 41,9 Mb
Release : 1976
Category : Boundary value problems
ISBN : UCAL:B4406402

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Modern Numerical Methods for Ordinary Differential Equations by G. Hall,James Murray Watt Pdf

Author : Shepley L. Ross
Publisher : John Wiley & Sons
Page : 518 pages
File Size : 40,8 Mb
Release : 1980
Category : Mathematics
ISBN : 0471032956

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Introduction to Ordinary Differential Equations by Shepley L. Ross Pdf

Author : Nail H. Ibragimov
Publisher : CRC Press
Page : 572 pages
File Size : 50,8 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.

Author : Prem K. Kythe
Publisher : CRC Press
Page : 382 pages
File Size : 44,8 Mb
Release : 2011-01-21
Category : Mathematics
ISBN : 9781439840092

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Green's Functions and Linear Differential Equations by Prem K. Kythe Pdf

Green's Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential equations (PDEs). The text provides a sufficient theoretical basis to understand Green's function method, which is used to solve initial and boundary