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An explicit two-step rational method for the numerical solution of first order initial value problem


Teh, Yuan Ying (2014) An explicit two-step rational method for the numerical solution of first order initial value problem. In: 21st National Symposium on Mathematical Sciences (SMSK21), 6–8 November 2013, Penang, Malaysia.

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Abstract

An explicit two-step, second order rational method for the numerical solution of first order initial value problems is introduced in this paper. Existing rational multistep methods required the computations of higher derivatives from a given initial value problem.However, the new two-step rational method does not require any computation of these higher derivatives, and thus save up some computational cost. Numerical results showed that the new rational multistep method and existing rational multistep method are found to have comparable accuracy in solving first order initial value problems.

Item Type: Conference or Workshop Item (Paper)
Additional Information: ISBN: 978-0-7354-1241-5
Uncontrolled Keywords: Explicit, Two-step Rational Method, Rational Multistep Method, Finite Difference, First Order Initial Value Problems.
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Dr. Yuan Ying Teh
Date Deposited: 13 Nov 2014 01:10
Last Modified: 26 May 2016 01:37
URI: http://repo.uum.edu.my/id/eprint/12693

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