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Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems
Joint Authors
Othman, K. I.
Zawawi, I. S. M.
Ibrahim, Z. B.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The diagonally implicit 2-point block backward differentiation formulas (DI2BBDF) of order two, order three, and order four are derived for solving stiff initial value problems (IVPs).
The stability properties of the derived methods are investigated.
The implementation of the method using Newton iteration is also discussed.
The performance of the proposed methods in terms of maximum error and computational time is compared with the fully implicit block backward differentiation formulas (FIBBDF) and fully implicit block extended backward differentiation formulas (FIBEBDF).
The numerical results show that the proposed method outperformed both existing methods.
American Psychological Association (APA)
Zawawi, I. S. M.& Ibrahim, Z. B.& Othman, K. I.. 2015. Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073135
Modern Language Association (MLA)
Zawawi, I. S. M.…[et al.]. Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1073135
American Medical Association (AMA)
Zawawi, I. S. M.& Ibrahim, Z. B.& Othman, K. I.. Derivation of Diagonally Implicit Block Backward Differentiation Formulas for Solving Stiff Initial Value Problems. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073135
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073135