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.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 5, Issue 5) |
| DOI | 10.11648/j.sjams.20170505.13 |
| Page(s) | 181-187 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Collocation, A-Stability, Hybrid Method, Initial Value Problem, Stiff Differential Equations
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APA Style
Yohanna Sani Awari. (2017). 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, 5(5), 181-187. https://doi.org/10.11648/j.sjams.20170505.13
ACS Style
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. Sci. J. Appl. Math. Stat. 2017, 5(5), 181-187. doi: 10.11648/j.sjams.20170505.13
AMA Style
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. Sci J Appl Math Stat. 2017;5(5):181-187. doi: 10.11648/j.sjams.20170505.13
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Download@article{10.11648/j.sjams.20170505.13,
author = {Yohanna Sani Awari},
title = {Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {5},
number = {5},
pages = {181-187},
doi = {10.11648/j.sjams.20170505.13},
url = {https://doi.org/10.11648/j.sjams.20170505.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20170505.13},
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.},
year = {2017}
}
TY - JOUR T1 - Numerical Strategies for the System of First Order IVPs Using Block Hybrid Extended Trapezoidal Multistep Method of Second Kind for Stiff ODEs AU - Yohanna Sani Awari Y1 - 2017/11/08 PY - 2017 N1 - https://doi.org/10.11648/j.sjams.20170505.13 DO - 10.11648/j.sjams.20170505.13 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 181 EP - 187 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20170505.13 AB - 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. VL - 5 IS - 5 ER -
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