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Solving stiff ordinary differential equations using extended block backward differentiation formulae.


Citation

Mohd Yatim, Siti Ainor and Ibrahim, Zarina Bibi and Othman, Khairil Iskandar and Suleiman, Mohamed (2013) Solving stiff ordinary differential equations using extended block backward differentiation formulae. In: IAENG Transactions On Engineering Technologies. Lecture Notes in Electrical Engineering (229). Springer, Netherlands, pp. 31-43. ISBN 9789400761896; EISBN: 9789400761902

Abstract / Synopsis

A comprehensive research on the existing Block Backward Differentiation Formulae (BBDF) was done. Based on the suitability in solving stiff ordinary differential equations (ODEs), BBDF of order 3 up 5 is collected using simplified strategy in controlling the step size and order of the method. Thus, Extended Block Backward Differentiation Formulae (EBBDF) is derived with the intention of optimizing the performance in terms of precision and computation time. The accuracy of the method are investigated using linear and non linear stiff initial value problems and its performance is compared with MATLAB’s suite of ODEs solvers namely ode15s and ode23s.


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Additional Metadata

Item Type: Book Section
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1007/978-94-007-6190-2_3
Publisher: Springer
Keywords: BDF methods; Block methods; Initial value problem; Numerical analysis; Ordinary differential equations; Stiff ODEs.
Depositing User: Suzila Mohamad Kasim
Date Deposited: 23 Jul 2014 11:23
Last Modified: 23 Jul 2014 11:23
URI: http://psasir.upm.edu.my/id/eprint/31319
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