METHOD INTO RUNGE KUTTA TYPE METHOD FOR FIRST ORDER INITIAL VALUE PROBLEM (IVP)

dc.contributor.authorAbubakar Aliyu
dc.contributor.authorRaihanatu Muhammad
dc.contributor.authorAbdulhakeem Yusuf
dc.date.accessioned2025-04-21T00:51:31Z
dc.date.issued2025-03
dc.description11th INTERNATIONAL BLACK SEA COASTLINE COUNTRIES SCIENTIFIC RESEARCH CONFERENCE
dc.description.abstractProblems arises from science and technology are expressed in differential equations. These differential equation are sometimes in ordinary differential equations. Reliability with high accuracy and stability are necessary for a numerical method for the solution of differential equations. This research paper presents the analysis of a reformulated block hybrid linear multistep method into Runge-Kutta type method (RKTM) for first order initial value problems (IVPs). In view of this, the block hybrid method derived is of uniform order 6 with error constants of , , , and while the Runge-Kutta type method reformulated maintain the order of the derived block hybrid linear multistep method which are of uniform order 6 but with error constants of . Testing for convergence of both the derived block hybrid linear multistep method and the Runge-Kutta type method shows that the two methods are consistent and are also zero stable
dc.identifier.urihttp://repository.futminna.edu.ng:4000/handle/123456789/848
dc.language.isoen
dc.subjectBlock hybrid
dc.subjectConvergency
dc.subjectLinear multistep method
dc.subjectOrder and error constants
dc.subjectRunge-Kutta type method
dc.titleMETHOD INTO RUNGE KUTTA TYPE METHOD FOR FIRST ORDER INITIAL VALUE PROBLEM (IVP)
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
R.MUHD AND ALIYU BLACKSEA CONFERENCE.pdf
Size:
1.3 MB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:

Collections