Stability of an explicit adapted Numerov method for second-order ordinary differential equations

This paper is concerned with the derivation of an explicit adapted Numerov method for solving a class of second order initial value problems. Coefficients of the method are functions of v and obtained from solving certain simplified order conditions. The stability property of this method is analysed...

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Bibliographic Details
Main Authors: Samat, Faieza, Ismail, Eddie Shahril
Format: Conference Proceeding
Language:English
Subjects:
Boundary value problems
Differential equations
Exact solutions
Mathematical analysis
Stability
Online Access:Get full text
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Summary:This paper is concerned with the derivation of an explicit adapted Numerov method for solving a class of second order initial value problems. Coefficients of the method are functions of v and obtained from solving certain simplified order conditions. The stability property of this method is analysed. This method is applied to several second order problems to provide numerical solutions in comparison with the exact solutions and numerical solutions of the existing method. The results show that this method is stable for a large interval of integration.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0228671