4-Step Block Hybrid Backward Differentiation Formula For Solving Second Order (BHBDF II) Ordinary Differential Equations

dc.contributor.authorHussaini Hajarat
dc.contributor.authorMuhammad Raihanatu
dc.contributor.authorYusuf Abdulhakeem
dc.date.accessioned2025-04-29T02:33:16Z
dc.date.issued2024
dc.description.abstractThis research work presents the derivation and implementation of a 4-step linear multistep method of block hybrid backward differentiation formula for solving nonlinear second-order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the proposed numerical scheme where the legendary polynomial is adopted as a basic function. The 4-step BHBDF has higher order of accuracy p = 11 which implies that it is consistent. The proposed numerical block method is further applied to finding direct solution to nonlinear second order ordinary differentiation equations. This implementation strategy is more accurate than some existing methods considered in the literature.
dc.identifier.urihttp://repository.futminna.edu.ng:4000/handle/123456789/1188
dc.language.isoen
dc.subjectlinear multi step method
dc.subjectblock method
dc.subjecthybrid
dc.subjectcollocation and interpolation methods
dc.title4-Step Block Hybrid Backward Differentiation Formula For Solving Second Order (BHBDF II) Ordinary Differential Equations
dc.typeArticle

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