Linear, Nonlinear, Ordinary, Partial
Author: A. C. King,J. Billingham,S. R. Otto
Publisher: Cambridge University Press
ISBN: 9780521016872
Category: Mathematics
Page: 541
View: 1379
For students taking second courses; the subject is central and required at second year and above.
From Ordinary to Partial Differential Equations
Author: Giampiero Esposito
Publisher: Springer
ISBN: 3319575449
Category: Mathematics
Page: 432
View: 3403
Handbook of Differential Equations
Author: Daniel Zwillinger
Publisher: Academic Press
ISBN: 1483220966
Category: Mathematics
Page: 694
View: 3410
Nonlinear Partial Differential Equations in Engineering
Author: W. F. Ames
Publisher: Academic Press
ISBN: 008095524X
Category: Mathematics
Page: 510
View: 9961
A course in ordinary and partial differential equations
Author: Zalman Rubinstein
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 477
View: 1627
The Numerical Solution of Ordinary and Partial Differential Equations
Author: Granville Sewell
Publisher: World Scientific
ISBN: 9814635111
Category: Mathematics
Page: 348
View: 552
Nonlinear Partial Differential Equations for Scientists and Engineers
Author: Lokenath Debnath
Publisher: Springer Science & Business Media
ISBN: 9780817682651
Category: Mathematics
Page: 860
View: 1216
Green’s Functions and Linear Differential Equations
Theory, Applications, and Computation
Author: Prem K. Kythe
Publisher: CRC Press
ISBN: 1439840091
Category: Mathematics
Page: 382
View: 7232
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 value problems involving linear ODEs and PDEs. It also contains a large number of examples and exercises from diverse areas of mathematics, applied science, and engineering. Taking a direct approach, the book first unravels the mystery of the Dirac delta function and then explains its relationship to Green’s functions. The remainder of the text explores the development of Green’s functions and their use in solving linear ODEs and PDEs. The author discusses how to apply various approaches to solve initial and boundary value problems, including classical and general variations of parameters, Wronskian method, Bernoulli’s separation method, integral transform method, method of images, conformal mapping method, and interpolation method. He also covers applications of Green’s functions, including spherical and surface harmonics. Filled with worked examples and exercises, this robust, self-contained text fully explains the differential equation problems, includes graphical representations where necessary, and provides relevant background material. It is mathematically rigorous yet accessible enough for readers to grasp the beauty and power of the subject.
Author: Prem K. Kythe
Publisher: CRC Press
ISBN: 1439840091
Category: Mathematics
Page: 382
View: 7232
Handbook of Nonlinear Partial Differential Equations, Second Edition
Author: Andrei D. Polyanin,Valentin F. Zaitsev
Publisher: CRC Press
ISBN: 142008724X
Category: Mathematics
Page: 1912
View: 6797
A Practical Course in Differential Equations and Mathematical Modelling
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: 9064
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: Nail H. Ibragimov,Nail? Kha?rullovich Ibragimov
Publisher: World Scientific
ISBN: 9814291951
Category: Mathematics
Page: 348
View: 9064
An Introduction to Nonlinear Partial Differential Equations
Author: J. David Logan
Publisher: John Wiley & Sons
ISBN: 0470225955
Category: Mathematics
Page: 397
View: 3360
Nonlinear Ordinary Differential Equations
An Introduction for Scientists and Engineers
Author: Dominic Jordan,Peter Smith
Publisher: Oxford University Press on Demand
ISBN: 0199208247
Category: Mathematics
Page: 531
View: 9833
Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.
Author: Dominic Jordan,Peter Smith
Publisher: Oxford University Press on Demand
ISBN: 0199208247
Category: Mathematics
Page: 531
View: 9833
Transformation Methods for Nonlinear Partial Differential Equations
Author: Dominic G. B. Edelen,Jian-hua Wang
Publisher: World Scientific
ISBN: 9789810209339
Category: Mathematics
Page: 325
View: 9194
Ordinary Differential Equations
A Practical Guide
Author: Bernd J. Schroers
Publisher: Cambridge University Press
ISBN: 1139503723
Category: Mathematics
Page: N.A
View: 7603
Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students and beginning researchers working in any of these fields who need to understand the area of ordinary differential equations in a short time.
Author: Bernd J. Schroers
Publisher: Cambridge University Press
ISBN: 1139503723
Category: Mathematics
Page: N.A
View: 7603
Nonlinear Ordinary Differential Equations in Transport Processes
Author: W. F. Ames
Publisher: Academic Press
ISBN: 0080955509
Category: Computers
Page: 264
View: 5529
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: 7419
Nonlinear Ordinary Differential Equations
Analytical Approximation and Numerical Methods
Author: Martin Hermann,Masoud Saravi
Publisher: Springer
ISBN: 813222812X
Category: Mathematics
Page: 310
View: 7360
The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs. The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-system problems. Students often rely on the finite element method to such an extent that on graduation they have little or no knowledge of alternative methods of solving problems. To rectify this, the book introduces several new approximation techniques.
Author: Martin Hermann,Masoud Saravi
Publisher: Springer
ISBN: 813222812X
Category: Mathematics
Page: 310
View: 7360
Recent Advances in Differential Equations
Author: Roberto Conti
Publisher: Elsevier
ISBN: 1483273911
Category: Mathematics
Page: 462
View: 3669
Nonlinear Partial Differential Equations
A Symposium on Methods of Solution
Author: W. F. Ames
Publisher: Academic Press
ISBN: 1483221504
Category: Mathematics
Page: 332
View: 9442
Nonlinear Partial Differential Equations: A Symposium on Methods of Solution is a collection of papers presented at the seminar on methods of solution for nonlinear partial differential equations, held at the University of Delaware, Newark, Delaware on December 27-29, 1965. The sessions are divided into four Symposia: Analytic Methods, Approximate Methods, Numerical Methods, and Applications. Separating 19 lectures into chapters, this book starts with a presentation of the methods of similarity analysis, particularly considering the merits, advantages and disadvantages of the methods. The subsequent chapters describe the fundamental ideas behind the methods for the solution of partial differential equation derived from the theory of dynamic programming and from finite systems of ordinary differential equations. These topics are followed by reviews of the principles to the lubrication approximation and compressible boundary-layer flow computation. The discussion then shifts to several applications of nonlinear partial differential equations, including in electrical problems, two-phase flow, hydrodynamics, and heat transfer. The remaining chapters cover other solution methods for partial differential equations, such as the synergetic approach. This book will prove useful to applied mathematicians, physicists, and engineers.
Author: W. F. Ames
Publisher: Academic Press
ISBN: 1483221504
Category: Mathematics
Page: 332
View: 9442
Handbook of Exact Solutions for Ordinary Differential Equations
Author: Valentin F. Zaitsev,Andrei D. Polyanin
Publisher: CRC Press
ISBN: 1420035339
Category: Mathematics
Page: 816
View: 9889