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An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems


Citation

Suleiman, Mohamed and Musa, Hamisu and Ismail, Fudziah (2015) An implicit 2-point block extended backward differentiation formula for integration of stiff initial value problems. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 33-51. ISSN 1823-8343; ESSN: 2289-750X

Abstract

A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A – stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than the 2-point BBDF and is suitable for solving stiff initial value problems.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: 2–point block method; Stability region; Block extended backward differentiation formula; Stiff
Depositing User: Nabilah Mustapa
Date Deposited: 04 Sep 2015 13:47
Last Modified: 04 Sep 2015 13:47
URI: http://psasir.upm.edu.my/id/eprint/38950
Statistic Details: View Download Statistic

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