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September 10, 2025Engineering and Technology JournalOpen Access

Formulation and Implementation of Obreckoff's-Type Optimized Hybrid Block Method for the Solution of Second Order Ordinary Differential Equation Using Free Parameter Off-Grid Points

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Authors

DRD. RaymondUniversity of Nigeria JDJohn Dan-Ndari OEOlurotimi Samuel Ebenezer

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Implication

Observational analysis shows improved accuracy in solving second-order ordinary differential equations, highlighting efficacy in initial value problems.

Key Points

The optimized block method significantly enhances accuracy when solving second-order ordinary differential equations.
In comparisons, it outperformed several existing methods in terms of effectiveness for initial value problems.
Employing collocation at all grid and off-grid points boosts the method's reliability and stability.
Key properties of the method include zero stability, consistency, and convergence, ensuring robust solutions.

Cite This Study

Raymond et al. (2025) studied this question.

synapsesocial.com/papers/68c1b35954b1d3bfb60ea0f7 https://doi.org/10.47191/etj/v10i07.04

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Implication

Observational analysis shows improved accuracy in solving second-order ordinary differential equations, highlighting efficacy in initial value problems.

Formulation and Implementation of Obreckoff's-Type Optimized Hybrid Block Method for the Solution of Second Order Ordinary Differential Equation Using Free Parameter Off-Grid Points

Discussion

Member takes

Implication

Key Points

Cite This Study

Formulation and Implementation of Obreckoff's-Type Optimized Hybrid Block Method for the Solution of Second Order Ordinary Differential Equation Using Free Parameter Off-Grid Points

Discussion

Member takes

Implication

Key Points

Cite This Study

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