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Numerical solution for stiff initial value problems using 2-point block multistep method


Citation

Mohamad Noor, N. and Ibrahim, Zarina Bibi and Ismail, Fudziah (2018) Numerical solution for stiff initial value problems using 2-point block multistep method. Journal of Physics: Conference Series, 1132 (1). pp. 1-9. ISSN 1742-6588; ESSN: 1742-6596

Abstract

This paper focuses on the derivation of an improved 2-point Block Backward Differentiation Formula of order five (I2BBDF(5)) for solving stiff first order Ordinary Differential Equations (ODEs). The I2BBDF(5) method is derived by using Taylor's series expansion to obtain the coefficients of the formula. To verify the efficiency of the I2BBDF(5) method, stiff problems from the literature are tested and compared with the existing solver for stiff ODEs. From the numerical results, we conclude that the I2BBDF(5) method can be an alternative solver for solving stiff ODEs


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1088/1742-6596/1132/1/012017
Publisher: IOP Publishing
Keywords: Ordinary Differential Equations (ODEs); I2BBDF(5) method
Depositing User: Mr. Sazali Mohamad
Date Deposited: 20 Apr 2020 16:32
Last Modified: 20 Apr 2020 16:32
Altmetrics: http://www.altmetric.com/details.php?domain=psair.upmedu.my&doi=10.1088/1742-6596/1132/1/012017
URI: http://psasir.upm.edu.my/id/eprint/75100
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