Author : Diran Sarafyan
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (227 download)
Book Synopsis Multistep Methods for the Numerical Solution of Ordinary Differential Equations Made Self-starting by : Diran Sarafyan
Download or read book Multistep Methods for the Numerical Solution of Ordinary Differential Equations Made Self-starting written by Diran Sarafyan and published by . This book was released on 1965 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Milne's method and other similar multistep ones for the approximate solution of differential equations, are not selfstarting. They require the use of known p pivotal points (x sub i, y(x sub i)), i = 0,1 ..., (p-1), where x's are equally spaced and y = y(x) is the solution of the differential equation. Usually these pivotal points are generated through the use of a set of so-called p-point formulas, preferably p being an odd integer. But these p-point formulas are not self-starting either. A rational method is established herein which will make these p-point formulas, and consequently also the multistep methods, self-starting. Subsequently the method is extended to systems of differential equations. (Author).