# Search Results for "nonlinear-partial-differential-equations-for-scientists-and-engineers"

## Nonlinear Partial Differential Equations for Scientists and Engineers

**Author**: Lokenath Debnath**Publisher:**Springer Science & Business Media**ISBN:**1489928464**Category:**Mathematics**Page:**593**View:**7471

This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from diverse fields. Methods and properties of solutions, along with their physical significance, help make the book more useful for a diverse readership. The book is an exceptionally complete text/reference for graduates, researchers, and professionals in mathematics, physics, and engineering.

## Linear Partial Differential Equations for Scientists and Engineers

**Author**: Tyn Myint-U,Lokenath Debnath**Publisher:**Springer Science & Business Media**ISBN:**9780817645601**Category:**Mathematics**Page:**778**View:**302

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.

## Partial differential equations for scientists and engineers

**Author**: Tyn Myint U.,Lokenath Debnath**Publisher:**North-Holland**ISBN:**N.A**Category:**Mathematics**Page:**554**View:**795

## Handbook of Linear Partial Differential Equations for Engineers and Scientists

**Author**: Andrei D. Polyanin**Publisher:**CRC Press**ISBN:**1420035320**Category:**Mathematics**Page:**800**View:**3455

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 constant and variable coefficients New exact solutions to linear equations and boundary value problems Equations and problems of general form that depend on arbitrary functions Formulas for constructing solutions to nonhomogeneous boundary value problems Second- and higher-order equations and boundary value problems An introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green's function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

## Partial Differential Equations for Scientists and Engineers

**Author**: Stanley J. Farlow**Publisher:**Courier Corporation**ISBN:**0486134733**Category:**Mathematics**Page:**414**View:**4299

Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.

## Nonlinear Partial Differential Equations in Engineering

**Author**: W. F. Ames**Publisher:**Academic Press**ISBN:**008095524X**Category:**Mathematics**Page:**510**View:**5711

Nonlinear Partial Differential Equations in Engineering

## Nonlinear Partial Differential Equations in Engineering and Applied Science

**Author**: Robert L. Sternberg,Anthony J. Kalinowski,John S. Papadakis**Publisher:**CRC Press**ISBN:**9780824769963**Category:**Mathematics**Page:**504**View:**6162

In this volume are twenty-eight papers from the Conference on Nonlinear Partial Differential Equationsin Engineering and Applied Science, sponsored by the Office of Naval Research and held at the Universityof Rhode Island in June, 1979. Included are contributions from an international group of distinguishedmathematicians, scientists, and engineers coming from a wide variety of disciplines and having a commoninterest in the application of mathematics, particularly nonlinear partial differential equations, to realworld problems.The subject matter ranges from almost purely mathematical topics in numerical analysis and bifurcationtheory to a host of practical applications that involve nonlinear partial differential equations, suchas fluid dynamics, nonlinear waves, elasticity, viscoelasticity, hyperelasticity, solitons, metallurgy, shocklessairfoil design, quantum fields, and Darcy's law on flows in porous media.Non/inear Partial Differential Equations in Engineering and Applied Science focuses on a variety oftopics of specialized, contemporary concern to mathematicians, physical and biological scientists, andengineers who work with phenomena that can be described by nonlinear partial differential equations.

## Differential Equations and Group Methods for Scientists and Engineers

**Author**: James M. Hill**Publisher:**CRC Press**ISBN:**9780849344428**Category:**Mathematics**Page:**224**View:**9899

Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.

## Partial Differential Equations

**Author**: Abdul-Majid Wazwaz**Publisher:**CRC Press**ISBN:**9789058093691**Category:**Mathematics**Page:**476**View:**5601

This text gathers, revises and explains the newly developed Adomian decomposition method along with its modification and some traditional techniques.

## Numerical Methods for Nonlinear Partial Differential Equations

**Author**: Sören Bartels**Publisher:**Springer**ISBN:**3319137972**Category:**Mathematics**Page:**393**View:**9822

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.