An Application of Modified Predictor-corrector Method (CROSBI ID 503695)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Meštrović, Mladen
engleski
An Application of Modified Predictor-corrector Method
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.
modified predictor-corrector method; numerical implementation
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Podaci o prilogu
281-284-x.
2004.
objavljeno
Podaci o matičnoj publikaciji
Computer Texhnology and Applications, ASME PVP-Vol. 482
San Diego (CA): American Society of Mechanical Engineers (ASME)
Podaci o skupu
2004 ASME Pressure Vessels and Piping Conference
predavanje
25.07.2004-29.07.2004
San Diego (CA), Sjedinjene Američke Države