A direct 4-point predictor-corrector block method for solving general third order ODEs

A multistep integration method based on Adams type formulae subject to varying step size is proposed for direct solution of general third order ordinary differential equations (ODEs). This direct 4-point block method will be implemented in Pk-1 E(Ck E)m mode and the numerical solution will be genera...

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Bibliographic Details
Main Authors: Waeleh, Nazreen, Abdul Majid, Zanariah, Ismail, Fudziah, Lee, Lai Soon
Format: Conference or Workshop Item
Language:English
Published: IEEE 2011
Online Access:http://psasir.upm.edu.my/id/eprint/48263/
http://psasir.upm.edu.my/id/eprint/48263/1/A%20direct%204-point%20predictor-corrector%20block%20method%20for%20solving%20general%20third%20order%20ODEs.pdf
Description
Summary:A multistep integration method based on Adams type formulae subject to varying step size is proposed for direct solution of general third order ordinary differential equations (ODEs). This direct 4-point block method will be implemented in Pk-1 E(Ck E)m mode and the numerical solution will be generated at four equally distance points simultaneously. Numerical results are given to compare the efficiency of this developed block method to the existence method in [1].