Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

Refine search results

Journals help

  1. 1 Open Physics

Years help

  1. 1 2012

Authors help

  1. 1 Motsa S.

Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 1

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  successive linearization method
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

A new piecewise-quasilinearization method for solving chaotic systems of initial value problems

100%
Motsa S.
Open Physics
|
2012
|
vol. 10
|
issue 4
936-946
EN
In this paper, a modification of the successive linearization method (SLM) for solving nonlinear initial value problems is introduced for the first time. The proposed method is based on a novel technique of extending the standard SLM and adapting it to a sequence of multiple intervals. In this new application the method is referred to as the piecewise successive linearization method(PSLM). This new algorithm is applied to chaotic and non-chaotic differential equations that model the Lotka-Volterra, Lorenz, Rössler and Genesio-Tesi systems. A comparative study between the new algorithm and the MATLAB Runge-Kutta based in-built solver (ode45) method is presented. The results demonstrate accuracy and reliability of the proposed PSLM algorithm.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.