eprintid: 8800 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/88/00 datestamp: 2023-11-09 16:20:43 lastmod: 2023-11-09 16:20:43 status_changed: 2023-11-09 16:13:33 type: article metadata_visibility: show creators_name: Ibrahim, Z.B. creators_name: Mohd Nasir, N.A.A. creators_name: Othman, K.I. creators_name: Zainuddin, N. title: Adaptive order of block backward differentiation formulas for stiff ODEs ispublished: pub note: cited By 7 abstract: 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. date: 2017 publisher: American Institute of Mathematical Sciences official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85013745612&doi=10.3934%2fnaco.2017006&partnerID=40&md5=1fc01320d5bc78288613768fa5298add id_number: 10.3934/naco.2017006 full_text_status: none publication: Numerical Algebra, Control and Optimization volume: 7 number: 1 pagerange: 95-106 refereed: TRUE issn: 21553289 citation: 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. ISSN 21553289