An A-stable explicit rational block method for the numerical solution of initial value problem

In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability property of esisting block multistep methods that are ba...

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Main Authors: Teh, Yuan Ying, Omar, Zurni, Mansor, Kamarun Hizam
格式: Conference or Workshop Item
语言:English
出版: 2014
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在线阅读:http://repo.uum.edu.my/12696/1/An.pdf
http://repo.uum.edu.my/12696/
http://www.curtin.edu.my/amaes2014/
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总结:In this paper,a 2-point explicit rational block method for the numerical solution of first order initial value problem is proposed.The main reason to consider rational block method is to improve the numerical accuracy and absolute stability property of esisting block multistep methods that are based 011 polynomial approximants. The proposed method is found to possess A-stability.Local truncation error is included as well.Numerical experimentations and results using some test problems are presented.Numerical results are satisfying in terms of numerical accuracy.Finally,a conclusion is included.