An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula

In this paper, an efficient solver known as higher order block backward differentiation formula (HOBBDF) is applied to chemical kinetic equations. In order to prove the applicability of this higher order solver, the chemical kinetic ordinary differential equations (ODEs) are numerically tested. Then...

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Main Authors: Asnor, Asma Izzati, Mohd Yatim, Siti Ainor, Ibrahim, Zarina Bibi
Format: Article
Language:English
Published: Akademi Sains Malaysia 2019
Online Access:http://psasir.upm.edu.my/id/eprint/80588/
http://psasir.upm.edu.my/id/eprint/80588/1/SOLVER.pdf
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author Asnor, Asma Izzati
Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
author_facet Asnor, Asma Izzati
Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
author_sort Asnor, Asma Izzati
building UPM Institutional Repository
collection Online Access
description In this paper, an efficient solver known as higher order block backward differentiation formula (HOBBDF) is applied to chemical kinetic equations. In order to prove the applicability of this higher order solver, the chemical kinetic ordinary differential equations (ODEs) are numerically tested. Then, a comparison of performance between HOBBDF and two ODE solvers in MATLAB, particularly ode15s and ode23, are made. Evidently, it is proven that HOBBDF method outperforms ODE solvers in terms of accuracy. Therefore, HOBBDF method can also be applied to solve chemical kinetic equations.
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publisher Akademi Sains Malaysia
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spelling upm-805882020-11-04T20:22:22Z http://psasir.upm.edu.my/id/eprint/80588/ An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula Asnor, Asma Izzati Mohd Yatim, Siti Ainor Ibrahim, Zarina Bibi In this paper, an efficient solver known as higher order block backward differentiation formula (HOBBDF) is applied to chemical kinetic equations. In order to prove the applicability of this higher order solver, the chemical kinetic ordinary differential equations (ODEs) are numerically tested. Then, a comparison of performance between HOBBDF and two ODE solvers in MATLAB, particularly ode15s and ode23, are made. Evidently, it is proven that HOBBDF method outperforms ODE solvers in terms of accuracy. Therefore, HOBBDF method can also be applied to solve chemical kinetic equations. Akademi Sains Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80588/1/SOLVER.pdf Asnor, Asma Izzati and Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi (2019) An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula. ASM Science Journal, 12 (6). pp. 34-40. ISSN 1823-6782 https://www.akademisains.gov.my/asmsj/article/an-efficient-solver-for-solving-chemical-kinetic-equations-using-higher-order/
spellingShingle Asnor, Asma Izzati
Mohd Yatim, Siti Ainor
Ibrahim, Zarina Bibi
An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title_full An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title_fullStr An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title_full_unstemmed An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title_short An efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
title_sort efficient solver for solving chemical kinetic equations using higher order block backward differentiation formula
url http://psasir.upm.edu.my/id/eprint/80588/
http://psasir.upm.edu.my/id/eprint/80588/
http://psasir.upm.edu.my/id/eprint/80588/1/SOLVER.pdf