Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs
Science Journal of Applied Mathematics and Statistics
Volume 5, Issue 5, October 2017, Pages: 181-187
Received: Sep. 18, 2017; Accepted: Oct. 8, 2017; Published: Nov. 8, 2017
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Author
Yohanna Sani Awari, Department of Mathematical Sciences, Taraba State University, Jalingo, Nigeria
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Abstract
A Modified Three Step Block Hybrid Extended Trapezoidal Multistep Method of Second Kind (BHETR2s) with two off-grid points, one at interpolation and another at collocation point yielding uniform order six (6, 6, 6, 6, 6)T for the Numerical Integration of initial value problems of stiff Ordinary Differential Equations was developed. The main method and additional equations were obtained from the same continuous formulation through interpolation and collocation procedures. The stability properties of the method was discussed and from the stability region obtained, the method is suitable for the solution Stiff Ordinary Differential Equations. Three numerical examples were considered to illustrate the efficiency and accuracy.
Keywords
Collocation, A-Stability, Hybrid Method, Initial Value Problem, Stiff Differential Equations
To cite this article
Yohanna Sani Awari, Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs, Science Journal of Applied Mathematics and Statistics. Vol. 5, No. 5, 2017, pp. 181-187. doi: 10.11648/j.sjams.20170505.13
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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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