*Linear, Nonlinear, Ordinary, Partial*

**Author**: A. C. King,J. Billingham,S. R. Otto

**Publisher:**Cambridge University Press

**ISBN:**9780521016872

**Category:**Mathematics

**Page:**541

**View:**4479

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# Search Results for: differential-equations-linear-nonlinear-ordinary-partial

*Linear, Nonlinear, Ordinary, Partial*

**Author**: A. C. King,J. Billingham,S. R. Otto

**Publisher:** Cambridge University Press

**ISBN:** 9780521016872

**Category:** Mathematics

**Page:** 541

**View:** 4479

For students taking second courses; the subject is central and required at second year and above.
*Classical and New Methods, Nonlinear Mathematical Models, Symmetry and Invariance Principles*

**Author**: Nail H. Ibragimov,Nail? Kha?rullovich Ibragimov

**Publisher:** World Scientific

**ISBN:** 9814291951

**Category:** Mathematics

**Page:** 348

**View:** 1717

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author?s own theoretical developments. The book ? which aims to present new mathematical curricula based on symmetry and invariance principles ? is tailored to develop analytic skills and ?working knowledge? in both classical and Lie?s methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author?s extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collge de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.

**Author**: W. F. Ames

**Publisher:** Academic Press

**ISBN:** 008095524X

**Category:** Mathematics

**Page:** 510

**View:** 3756

Nonlinear Partial Differential Equations in Engineering

**Author**: Lokenath Debnath

**Publisher:** Springer Science & Business Media

**ISBN:** 9780817682651

**Category:** Mathematics

**Page:** 860

**View:** 9727

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics, and wave propagation. Nonlinear Partial Differential Equations for Scientists and Engineers, Third Edition, improves on an already highly complete and accessible resource for graduate students and professionals in mathematics, physics, science, and engineering. It may be used to great effect as a course textbook, research reference, or self-study guide.

**Author**: J. R. Ockendon,Sam Howison,Andrew Lacey,Alexander Movchan

**Publisher:** Oxford University Press on Demand

**ISBN:** 9780198527718

**Category:** Mathematics

**Page:** 449

**View:** 4070

Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This revised edition of Applied Partial Differential Equations contains many new sections and exercises including transform methods, free surface flows, linear elasticity and complex characteristics.

**Author**: Tyn Myint-U,Lokenath Debnath

**Publisher:** Springer Science & Business Media

**ISBN:** 9780817645601

**Category:** Mathematics

**Page:** 778

**View:** 8887

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books. It also contains a large number of worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry; solutions are provided.
*THEORY AND APPLICATIONS*

**Author**: NITA H. SHAH

**Publisher:** PHI Learning Pvt. Ltd.

**ISBN:** 8120350871

**Category:** Mathematics

**Page:** 528

**View:** 3820

This revised and updated text, now in its second edition, continues to present the theoretical concepts of methods of solutions of ordinary and partial differential equations. It equips students with the various tools and techniques to model different physical problems using such equations. The book discusses the basic concepts of ordinary and partial differential equations. It contains different methods of solving ordinary differential equations of first order and higher degree. It gives the solution methodology for linear differential equations with constant and variable coefficients and linear differential equations of second order. The text elaborates simultaneous linear differential equations, total differential equations, and partial differential equations along with the series solution of second order linear differential equations. It also covers Bessel’s and Legendre’s equations and functions, and the Laplace transform. Finally, the book revisits partial differential equations to solve the Laplace equation, wave equation and diffusion equation, and discusses the methods to solve partial differential equations using the Fourier transform. A large number of solved examples as well as exercises at the end of chapters help the students comprehend and strengthen the underlying concepts. The book is intended for undergraduate and postgraduate students of Mathematics (B.A./B.Sc., M.A./M.Sc.), and undergraduate students of all branches of engineering (B.E./B.Tech.), as part of their course in Engineering Mathematics. New to the SECOND Edition • Includes new sections and subsections such as applications of differential equations, special substitution (Lagrange and Riccati), solutions of non-linear equations which are exact, method of variation of parameters for linear equations of order higher than two, and method of undetermined coefficients • Incorporates several worked-out examples and exercises with their answers • Contains a new Chapter 19 on ‘Z-Transforms and its Applications’.

**Author**: Alexei Kushner,Valentin Lychagin,Vladimir Rubtsov

**Publisher:** Cambridge University Press

**ISBN:** 0521824761

**Category:** Mathematics

**Page:** 496

**View:** 7968

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

**Author**: Mark Zegarelli

**Publisher:** John Wiley & Sons

**ISBN:** 3527657983

**Category:** Mathematics

**Page:** 358

**View:** 5682

Nach der Analysis ist vor der Analysis. Dies ist das richtige Buch f?r Sie, wenn es in der Analysis ein wenig mehr sein soll oder auch muss. Mark Zegarelli erkl?rt Ihnen, was Sie zur infiniten Integration und zu differential- und multivariablen Gleichungen wissen m?ssen. Er f?hrt mit Taylorreihe und Substitutionen fort und f?hrt Sie auch in die Dritte Dimension der Analysis; und das ist lange noch nicht alles! Im Ton verbindlich, in der Sache kompetent f?hrt er Ihre Analysiskenntnisse auf eine neue Stufe.

**Author**: Peter J. Olver

**Publisher:** Springer Science & Business Media

**ISBN:** 3319020994

**Category:** Mathematics

**Page:** 636

**View:** 6197

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.

**Author**: Andrei D. Polyanin,Valentin F. Zaitsev,Alain Moussiaux

**Publisher:** CRC Press

**ISBN:** 9780415272674

**Category:** Mathematics

**Page:** 520

**View:** 5044

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 corresponding types of differential equations are outlined and specific examples are considered. It presents equations and their applications, including differential geometry, nonlinear mechanics, gas dynamics, heat and mass transfer, wave theory and much more. This handbook is an essential reference source for researchers, engineers and students of applied mathematics, mechanics, control theory and the engineering sciences.
*Mathematischer Begleiter zur Experimentalphysik*

**Author**: May-Britt Kallenrode

**Publisher:** Springer-Verlag

**ISBN:** 3540274820

**Category:** Science

**Page:** 386

**View:** 6436

Die vollständig überarbeitete zweite Auflage der Rechenmethoden der Physik führt beispiel- und praxisorientiert in mathematische Handwerkszeuge wie Differentialgleichungen ein. Methoden der Fehlerrechnung, wie im Praktikum benötigt, werden unter konsequenter Verwendung von Verteilungsfunktionen behandelt. Durch die enge Anbindung an das Themenspektrum der Experimentalphysik werden die Rechenmethoden in der Reihenfolge bereitgestellt, wie sie in der Experimentalphysik benötigt werden. Zahlreiche Aufgaben und Lösungen vervollständigen das Buch. In der neuen Auflage werden zudem Optimierungsprobleme, statistische Verfahren im Praktikum und numerische Verfahren ausführlich beschrieben.
*Das Anfangswertproblem*

**Author**: Lawrence F. Shampine,Marilyn K. Gordon

**Publisher:** Springer-Verlag

**ISBN:** 3322938018

**Category:** Mathematics

**Page:** 259

**View:** 826

**Author**: N. Finizio,G. E. Ladas

**Publisher:** Wadsworth Pub Co

**ISBN:** N.A

**Category:** Mathematics

**Page:** 484

**View:** 8164

**Author**: Svatopluk Fucik

**Publisher:** Springer Science & Business Media

**ISBN:** 9789027710772

**Category:** Mathematics

**Page:** 390

**View:** 3474

**Author**: Fritz John

**Publisher:** Springer Science & Business Media

**ISBN:** 9780387906096

**Category:** Mathematics

**Page:** 252

**View:** 6714

This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy’s example of a linear equation without solutions.

**Author**: J. David Logan

**Publisher:** John Wiley & Sons

**ISBN:** 0470225955

**Category:** Mathematics

**Page:** 397

**View:** 8464

An Introduction to Nonlinear Partial Differential Equations is a textbook on nonlinear partial differential equations. It is technique oriented with an emphasis on applications and is designed to build a foundation for studying advanced treatises in the field. The Second Edition features an updated bibliography as well as an increase in the number of exercises. All software references have been updated with the latest version of [email protected], the corresponding graphics have also been updated using [email protected] An increased focus on hydrogeology...

**Author**: John David Logan

**Publisher:** Wiley-Interscience

**ISBN:** N.A

**Category:** Mathematics

**Page:** 400

**View:** 4708

Uses an analytical and techniques-oriented approach to present a concise introduction to the subject focusing on time-evolution problems. Emphasizes hyperbolic and parabolic problems and includes a range of applications--chemistry, porous media, biological problems, traffic flow, reactors, heat transfer and detonation. Packed with exercises, examples and illustrations.

**Author**: Andrei D. Polyanin,Valentin F. Zaitsev

**Publisher:** CRC Press

**ISBN:** 142008724X

**Category:** Mathematics

**Page:** 1912

**View:** 9760

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.

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