Stochastic differential equations (SDEs) are a powerful tool in science, mathematics, economics and finance. This book will help the reader to master the basic theory and learn some applications of SDEs. In particular, the reader will be provided with the backward SDE technique for use in research w
Methods for constructing exact solutions of partial differential equations: mathematical and analytical techniques with applications to engineering
β Scribed by Sergey V. Meleshko
- Book ID
- 127420559
- Publisher
- Springer Science+Business Media
- Year
- 2005
- Tongue
- English
- Weight
- 2 MB
- Series
- Mathematical and analytical techniques with applications to engineering
- Edition
- 1
- Category
- Library
- City
- New York
- ISBN-13
- 9780387252650
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods
AbstraetqWe discuss a direct formulation of the Tau Method in two dimensions which differs radically from former techniques in that no discretization is introduced in any of the variables. A segmented formulation in terms of Tau elements is discussed and applied to the numerical solution of nonlinea
In this paper, the variational iteration method (VIM) is reintroduced with Laplace transforms and the PadΓ© technique treatment to obtain closed form solutions of nonlinear equations. Some examples, including the coupled Burger's equation, compacton k(n, n) equation, Zakharov-Kuznetsov Zk(n, n) equat