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Diagonally implicit block backward differentiation formulas for solving ordinary differential equations


Citation

Mohd Zawawi, Iskandar Shah and Ibrahim, Zarina Bibi and Ismail, Fudziah and Abdul Majid, Zanariah (2012) Diagonally implicit block backward differentiation formulas for solving ordinary differential equations. International Journal of Mathematics and Mathematical Sciences, 2012. art. no. 767328. pp. 1-8. ISSN 0161-1712; ESSN: 1687-0425

Abstract

This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas (DI2BBDF) for solving first-order initial value problem (IVP) with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2012/767328
Publisher: Hindawi Publishing Corporation
Keywords: Diagonally implicit two-point block backward differentiation formulas (DI2BBDF); First-order initial value problem; Two fixed points
Depositing User: Nabilah Mustapa
Date Deposited: 04 Jul 2017 03:03
Last Modified: 04 Jul 2017 03:03
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/767328
URI: http://psasir.upm.edu.my/id/eprint/56242
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