Research ArticleOpen accessIn the keywordsON SMOOTH SOLUTIONS OF NON LINEAR DYNAMICAL SYSTEMS, fn+1 = u(fn), PART IKyriakos KefalasWe consider the dynamical system, fn+1 = u(fn), (1) (where usually n, is time) defined by a continuous map u. Our target is to find a flow of the system for each initial state f0, i.e., we seek continuous solutions of (1), with the same smoothness degree as u. We start with the introduction of continued forms which are a … …Physics International, Vol. 5, Issue 1 · 7 May 2014 · 8,668 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Exact Root Algorithm for Computing the Real Roots of an Nth Degree PolynomialE. A. Adebile, V. I. IdokoProblem statement: The need to find an efficient and reliable algorithm for computing the exact real roots of the steady-state polynomial encountered in the investigation of temperature profiles in biological tissues during Microwave heating and other similar cases as found in the literature gave rise to this study. Approach: The algorithm (simply called ERA-Exact Root Algorithm) adopted polynomial deflation technique … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,555 accessesView PDFCite