Derivation and Analysis of Block Hybrid Method for Solving Initial Value Problems in Oscillatory Differential Equations

James, Adewale A.; John, Sabo.; Etuk, Solomon.; Muhammad, Aliyu.

dc.contributor.author	James, Adewale A.
dc.contributor.author	John, Sabo.
dc.contributor.author	Etuk, Solomon.
dc.contributor.author	Muhammad, Aliyu.
dc.date.accessioned	2024-10-11T08:57:16Z
dc.date.available	2024-10-11T08:57:16Z
dc.date.issued	2024-11-06
dc.identifier.issn	3027-0650
dc.identifier.uri	http://hdl.handle.net/123456789/671
dc.description	To tackle real-world challenges across engineering, biological sciences, physical sciences, electronics, and other disciplines, researchers frequently encounter initial value problems, as noted by. Many practical problems in engineering and science are initially formulated as differential equations before resolution. These equations typically involve derivatives, establishing a connection between an independent variable, a dependent variable and one or more differential coefficients concerning.	en_US
dc.description.abstract	The Block Hybrid Method is a numerical technique for solving ordinary differential equations (ODEs), particularly effective for stiff and oscillatory systems. This paper introduces a new method designed to handle challenges posed by equations like the Malthusian Growth Model and Prothero-Robinson equation, which are difficult to solve using conventional methods due to stiffness and rapid oscillations. Derived using power series approximation, the method is analyzed for order, error constant, consistency, and zero stability, proving to be convergent, consistent, and zero-stable. Numerical examples demonstrate its superior accuracy and stability compared to existing methods, making it a valuable tool for solving complex initial value problems in real-world applications.	en_US
dc.language.iso	en	en_US
dc.publisher	[American University of Nigeria]	en_US
dc.relation.ispartofseries	American University of Nigeria, 2nd International Conference Proceeding;
dc.title	Derivation and Analysis of Block Hybrid Method for Solving Initial Value Problems in Oscillatory Differential Equations	en_US
dc.type	Article	en_US