Derivation of Adams Method for the Numerical Solution of Ordinary Differential Equations Via Computer Algebra
Applied and Computational Mathematics
Volume 6, Issue 4, August 2017, Pages: 167-170
Received: Sep. 26, 2016; Accepted: Mar. 3, 2017; Published: Jul. 4, 2017
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Authors
Mustafa A., Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
M. M. Hamza, Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
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Abstract
In this paper, a well-known computer algebra system (CAS) was considered for the derivation of Numerical method for the solution of initial value problems. This was achieved by the use of maple software. Numerical methods were derived through Lagrange interpolation method. Both the implicit and explicit method was derived with the help of the Computer algebra system. In particular, a review of Maple’s functional role in the derivation of numerical methods was also presented. The main challenge was that the efficient handling and simplifying of very long expressions, which was met by the power of Maple’s build-in functionality. The use of the maple procedure had significantly reduced the errors and hence improved efficiency in derivation of higher order Adams Methods.
Keywords
Computer Algebra, Lagrange, Initial Value, Linear Multistep Method
To cite this article
Mustafa A., M. M. Hamza, Derivation of Adams Method for the Numerical Solution of Ordinary Differential Equations Via Computer Algebra, Applied and Computational Mathematics. Vol. 6, No. 4, 2017, pp. 167-170. doi: 10.11648/j.acm.20170604.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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