Work

A Block Hybrid Method for the Direct Solution of y^(”)=f(x,y,y^(’))

Year: 2025

Type: article

Abstract: This paper introduces a Block Hybrid Method for solving general second-order ordinary differential equations (ODEs) with initial value problems. The method is based on a continuous formulation of the second-order hybrid generalized Adams method, incorporating one off-grid point per step. Discrete schemes are derived from the continuous form and its first derivative, forming the block methods. Analysis shows the method is consistent, zero-stable, and convergent. Numerical results highlight its superiority over existing methods.

Source: African Journal of Mathematics and Statistics Studies

DOI: 10.52589/ajmss-bmgeejxe

Authors: U. J. Kalu, M. S. Mahmud, M. Z. Idris, I. S. Zahid

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409280214

FWCI:

Cites: 5

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Related to: 10