By Ronald E. Mickens

ISBN-10: 9812564047

ISBN-13: 9789812564047

ISBN-10: 9812703314

ISBN-13: 9789812703316

This quantity offers a concise creation to the technique of nonstandard finite distinction (NSFD) schemes building and indicates how they are often utilized to the numerical integration of differential equations taking place within the usual, biomedical, and engineering sciences. those tools had their genesis within the paintings of Mickens within the 1990's and are actually commencing to be extensively studied and utilized through different researchers. the significance of the ebook derives from its transparent and direct rationalization of NSFD within the introductory bankruptcy in addition to a wide dialogue of the longer term instructions had to enhance the subject.

Show description

Read Online or Download Advances in the Applications of Nonstandard Finite Difference Schemes PDF

Best discrete mathematics books

Martin Hanke's Conjugate Gradient Type Methods for Ill-Posed Problems PDF

The conjugate gradient procedure is a robust device for the iterative resolution of self-adjoint operator equations in Hilbert area. This quantity summarizes and extends the advancements of the previous decade about the applicability of the conjugate gradient approach (and a few of its variations) to ailing posed difficulties and their regularization.

Get A Concrete Approach to Classical Analysis (CMS Books in PDF

Mathematical research bargains a superior foundation for lots of achievements in utilized arithmetic and discrete arithmetic. This new textbook is concentrated on differential and critical calculus, and contains a wealth of valuable and suitable examples, routines, and effects enlightening the reader to the facility of mathematical instruments.

Download e-book for iPad: Mathematical Programming and Game Theory for Decision Making by S K Neogy

This edited booklet offers fresh advancements and state of the art evaluate in numerous components of mathematical programming and video game concept. it's a peer-reviewed learn monograph less than the ISI Platinum Jubilee sequence on Statistical technology and Interdisciplinary examine. This quantity presents a breathtaking view of thought and the purposes of the equipment of mathematical programming to difficulties in facts, finance, video games and electric networks.

Extra resources for Advances in the Applications of Nonstandard Finite Difference Schemes

Sample text

Mickens, Applications of Nonstandard Finite Difference Schemes, (World Scientific, Singapore, 2000). R. Anguelov and J. Lubuma, Contributions to the mathematics of the nonstandard finite difference method and applications, Journal of Numerical Methods for Partial Differential Equations 17 (2001), 518-543. R. E. Mickens, Discretizations of nonlinear differential equations using explicit nonstandard methods, Journal of Computational and Applied Mathematics 110 (1999), 181-185. P. Sekhavat, N. Sepehri and Q.

F,(x~)}~) pertaining to fixed (equilibrium) point, R , of the original differential system. The use of function (19) allows the value of h to be selected much larger than one normally choose, because it is the effective step-size p that determines the stability and not the actual step-size h. An acceptable value for p is the one for which the maximum eigenvalue of the Jacobian matrix R is less than 1. , the fixed point of the discrete derivatives has the same stability properties as those of the critical (fixed) point of the original system.

5 . Conclusions In this chapter, two nonstandard finite difference (NSFD) schemes were employed to, for the first time, study numerical solutions of the equations of motion of a typical robot manipulator. The simulation results were also compared with the ones obtained using the conventional fourth-order Runge-Kutta (RK4) algorithm. It was shown that by using the proper choice of the scheme and the nonlocal substitutions, (i) the possibility of having spurious solutions obtained by the RK4 method is eliminated, (ii) stability properties of the original system are preserved, and (iii) simulation results are numerically stable given any selected value of the step-sizes.

Download PDF sample

Advances in the Applications of Nonstandard Finite Difference Schemes by Ronald E. Mickens


by Michael
4.3

New PDF release: Advances in the Applications of Nonstandard Finite
Rated 4.68 of 5 – based on 45 votes