Naslov
An Application of Modified Predictor-corrector Method

Autori
Meštrović, Mladen

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Computer Texhnology and Applications, ASME PVP-Vol. 482 / - San Diego (CA) : American Society of Mechanical Engineers (ASME), 2004, 281-284

Skup
2004 ASME Pressure Vessels and Piping Conference

Mjesto i datum
San Diego (CA), Sjedinjene Američke Države, 25.07.2004. - 29.07.2004

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
modified predictor-corrector method; numerical implementation

Sažetak
The explicit numerical integration method, introduced and proposed in the paper given by Chiou and Wu [1], is further developed. The method is based on the relationship that m-step Adams-Moulton method is linear convex combination of the (m-1)-step Adams-Moulton and m-step Adams-Bashforth method with a fixed weighting coefficients. The general form taken from Chiou and Wu [1] is used to evaluate the recurrence expressions using the different number of previuos mesh points. The explicit expressions are given for modified 3-step predictor-corrector method. The numerical algorithms are given for first- and second-order nonlinear initial value problems and for system of ordinary differential equations. Some numerical examples, for different kind of problems, are used to demonstrate the efficiency and the accuracy of the proposed numerical method. The calculated numerical solutions show superiority of presented modified predictor-corrector method to standard Adams-Bashforth-Moulton predictor-corrector method.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

POVEZANOST RADA