Download or read book Advances in the Applications of Nonstandard Finite Diffference Schemes written by Ronald E. Mickens and published by World Scientific. This book was released on 2005 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990''s and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.