Applications of Nonstandard Finite Difference Schemes is popular PDF and ePub book, written by Ronald E. Mickens in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Applications of Nonstandard Finite Difference Schemes can be Read Online from any device for your convenience.
Applications of Nonstandard Finite Difference Schemes Book PDF Summary
The main purpose of this book is to provide a concise introduction to the methods and philosophy of constructing nonstandard finite difference schemes and illustrate how such techniques can be applied to several important problems. Chapter I gives an overview of the subject and summarizes previous work. Chapters 2 and 3 consider in detail the construction and numerical implementation of schemes for physical problems involving convection-diffusion-reaction equations, that arise in groundwater pollution and scattering of electromagnetic waves using Maxwell's equations. Chapter 4 examines certain mathematical issues related to the nonstandard discretization of competitive and cooperative models for ecology. The application chapters illustrate well the power of nonstandard methods. In particular, for the same accuracy as obtained by standard techniques, larger step sizes can be used. This volume will satisfy the needs of scientists, engineers, and mathematicians who wish to know how to construct nonstandard schemes and see how these are applied to obtain numerical solutions of the differential equations which arise in the study of nonlinear dynamical systems modeling important physical phenomena.
Detail Book of Applications of Nonstandard Finite Difference Schemes PDF
- Author : Ronald E. Mickens
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 981024133X
- Genre : Mathematics
- Total Page : 268 pages
- Language : English
- PDF File Size : 16,8 Mb
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