Open AccessEnhanced Numerov Method for the Numerical Solution of Second Order Initial Value Problems
Author(s) -
G. O. Akinlabi,
S.A. Bishop,
S.O. Edeki
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1734/1/012014
Subject(s) - interpolation (computer graphics) , convergence (economics) , mathematics , collocation (remote sensing) , boundary value problem , initial value problem , nonlinear system , numerical analysis , value (mathematics) , work (physics) , mathematical analysis , computer science , statistics , economics , animation , mechanical engineering , physics , computer graphics (images) , quantum mechanics , machine learning , engineering , economic growth
Numerov method is a multistep numerical method that is used in solving second order differential equations. In this work, we apply this method as a Boundary Value Method (BVM) for the numerical approximation of both linear and nonlinear second order initial value problems. This is achieved by constructing the Numerov method via interpolation and collocation process while utilizing data at off-step points and implementing it as a BVM. On comparing the results obtained from the solved problems, it shows that the method is accurate with high level of convergence to their exact forms and performs better than results from literature.