Publication:
Two-Point Block Variable Order Step Size Multistep Method for Solving Higher Order Ordinary Differential Equations Directly

Simple item page
dc.contributor.authorAhmad Fadly Nurullah Rasedeeen_US
dc.contributor.authorMohammad Hasan Abdul Satharen_US
dc.contributor.authorSiti Raihana Hamzahen_US
dc.contributor.authorNorizarina Ishaken_US
dc.contributor.authorTze Jin Wongen_US
dc.contributor.authorLee Feng Kooen_US
dc.contributor.authorSiti Nur Iqmal Ibrahimen_US
dc.date.accessioned2024-05-29T03:28:09Z
dc.date.available2024-05-29T03:28:09Z
dc.date.issued2021-03
dc.descriptionVolume 33, Issue 3en_US
dc.description.abstractThe current research aims to provide a viable numerical method for solving difficult engineering and science problems which are in the form of higher order ordinary differential equations. The proposed method approximates these ordinary differential equations using Newton-Gregory backward difference polynomial in predictor–corrector mode. The predictor–corrector algorithm is then fitted with a variable order step size algorithm to reduce computational cost. The variable order stepsize algorithm allows the method to predetermine the preferred level of accuracy with the added advantage of less computational cost. The method is subsequently programmed with a two-point block formulation which can be altered for parallel programming. This research also discusses order and stepsize strategies of the variable order stepsize algorithm. Stability and convergence estimations of the method are also established. Numerical results obtained will validate the accuracy and efficiency of the method using various types of linear and nonlinear higher order ordinary differential equationsen_US
dc.identifier.citationRasedee, Ahmad & Abdul Sathar, Mohammad & Hamzah, Siti Raihana & Ishak, Norizarina & Wong, Tze Jin & Feng, Koo & Ibrahim, Siti Nur Iqmal. (2021). Two-Point Block variable order step size Multistep Method for Solving Higher Order Ordinary Differential Equations Directly. Journal of King Saud University - Science. 33. 101376. 10.1016/j.jksus.2021.101376.en_US
dc.identifier.doi10.1016/j.jksus.2021.101376
dc.identifier.epage11
dc.identifier.issn1018-3647
dc.identifier.issue3
dc.identifier.spage1
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S1018364721000379
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85102282614&origin=resultslist&sort=plf-f&src=s&sid=5dd71140b122bdd25de94ff4f05bf0b7&sot=b&sdt=b&s=TITLE-ABS-KEY%28Two-point+block+variable+order+step+size+multistep+method+for+solving+higher+order+ordinary+differential+equations+directly%29&sl=126&sessionSearchId=5dd71140b122bdd25de94ff4f05bf0b7
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/12265
dc.identifier.volume33
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.relation.ispartofJournal of King Saud University - Scienceen_US
dc.subjectOrdinary differential equations, Block, Multistep method, Variable order step sizeen_US
dc.titleTwo-Point Block Variable Order Step Size Multistep Method for Solving Higher Order Ordinary Differential Equations Directlyen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Two-point block variable order step size multistep method for solving.pdf
Size:
1.32 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Plain Text
Description:
Download

Collections

Web of Science_WoS