Solution of Second-Order Ordinary Differential Equations Through One-Step Hybrid Block Method

Olaleye, Amoo O.; Fiyinfoluwa, Adedokun.

dc.contributor.author	Olaleye, Amoo O.
dc.contributor.author	Fiyinfoluwa, Adedokun.
dc.date.accessioned	2024-10-10T12:02:09Z
dc.date.available	2024-10-10T12:02:09Z
dc.date.issued	2023-11-13
dc.identifier.issn	3027-0650
dc.identifier.uri	http://hdl.handle.net/123456789/648
dc.description	According to Fatunla (1991), there are numerous ways to explain natural phenomena or problems from the actual world using mathematical terms like differential equations. Different types of differential equations can be categorised, including partial differential equations (PDE) and ordinary differential equations (ODE). ODE can be used to tackle a wide variety of scientific issues, demonstrating its significance in mathematical study.	en_US
dc.description.abstract	This study examined the development of the one-step block method for solving second-order initial value problems in ordinary differential equations. The trial function for this method was a Chebyshev interpolating polynomial, and it was developed using the multistep collocation technique. The second derivative of this polynomial served as the collocating equation, and the unknown variables were identified using the Gaussian elimination approach. The order, error-constant, zero stability, consistency, and convergence of the recently suggested approach are all verified. The accuracy of the solution was compared to that of the prior methods and the new strategy outperforms them when used to resolve second-order initial value problems.	en_US
dc.language.iso	en	en_US
dc.publisher	[Federal University of Oye-Ekiti, Nigeria]	en_US
dc.relation.ispartofseries	American University of Nigeria, 1st International Conference Proceeding;
dc.title	Solution of Second-Order Ordinary Differential Equations Through One-Step Hybrid Block Method	en_US
dc.type	Article	en_US