Adaptive order of block backward differentiation formulas for stiff ODEs
In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computati...
| Main Authors: | Ibrahim, Z.B., Mohd Nasir, N.A.A., Othman, K.I., Zainuddin, N. |
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| Format: | Article |
| Institution: | Universiti Teknologi Petronas |
| Record Id / ISBN-0: | utp-eprints.19604 / |
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American Institute of Mathematical Sciences
2017
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utp-eprints.196042018-03-22T07:29:39Z Adaptive order of block backward differentiation formulas for stiff ODEs Ibrahim, Z.B. Mohd Nasir, N.A.A. Othman, K.I. Zainuddin, N. In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. © 2010 Mathematics Subject Classification. American Institute of Mathematical Sciences 2017 Article PeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add Ibrahim, Z.B. and Mohd Nasir, N.A.A. and Othman, K.I. and Zainuddin, N. (2017) Adaptive order of block backward differentiation formulas for stiff ODEs. Numerical Algebra, Control and Optimization, 7 (1). pp. 95-106. http://eprints.utp.edu.my/19604/ |
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Universiti Teknologi Petronas |
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UTP Institutional Repository |
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In this paper, Adapative Order of Block Backward Differentiation Formulas (ABBDFs) are formulated using uniform step size for the numerical solution of stiff ordinary differential equations (ODEs). These ABBDF methods are of order four, five and six. The benefit of the ABBDF methods is the computation time in the computation of solutions. Numerical results are presented to demonstrate the advantage of implementing adaptive order selection in a single code. © 2010 Mathematics Subject Classification. |
| format |
Article |
| author |
Ibrahim, Z.B. Mohd Nasir, N.A.A. Othman, K.I. Zainuddin, N. |
| spellingShingle |
Ibrahim, Z.B. Mohd Nasir, N.A.A. Othman, K.I. Zainuddin, N. Adaptive order of block backward differentiation formulas for stiff ODEs |
| author_sort |
Ibrahim, Z.B. |
| title |
Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_short |
Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_full |
Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_fullStr |
Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_full_unstemmed |
Adaptive order of block backward differentiation formulas for stiff ODEs |
| title_sort |
adaptive order of block backward differentiation formulas for stiff odes |
| publisher |
American Institute of Mathematical Sciences |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add http://eprints.utp.edu.my/19604/ |
| _version_ |
1741196233522806784 |
| score |
11.62408 |