A Class of P-Stable Hybrid Linear Multistep Methods with Minimal Phase-Lag Error for Second Order Initial Value Problems (eBook)

Isaac Felix (Autor)

eBook Download: PDF

2018 | 1. Auflage
57 Seiten
GRIN Verlag
978-3-668-81142-3 (ISBN)

Infos

Master's Thesis from the year 2018 in the subject Mathematics - Miscellaneous, grade: 82.0%, University of Benin, language: English, abstract: P-stable hybrid linear multistep methods (HLMMs) have been an interesting focus for the numerical solution of second order initial value problems (IVPs) in ordinary di_erential equations (ODEs), because of their high order of accuracy. In this thesis, we present a new class of P-stable HLMMs with order p = 2 and p = 4 respectively for the numerical solution of second order systems. The hybrid schemes which are obtained via Pade 0 approximation approach have minimum Phase-lag error. Numerical experiments are carried out to show the accuracy of the proposed schemes. Nevertheless, the desire in this work is on high order P-stable schemes (p > 4). We give a proposition with proof, stating the limitation of the approach in search for higher order P-stable formulas. Key words: P-stability, Phase-lag error (PLE) constant, Hybrids, order, Interval of periodicity, Pade 0 approximation, Principal local truncation error (PLTE).

Produkt-Details

• Erscheint lt. Verlag: 5.10.2018
• Verlagsort: München
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Class • error • hybrid • initial • Linear • Methods • Minimal • multistep • Order • Phase-Lag • Problems • p-stable • Second • Value
• ISBN-10: 3-668-81142-3 / 3668811423
• ISBN-13: 978-3-668-81142-3 / 9783668811423