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: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | 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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| Summary: | 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. |
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