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Titel
A Functionally-Fitted Block Numerov Method for Solving Second-Order Initial-Value Problems with Oscillatory Solutions
Autor(es)
Schlagwort
Block method
Convergence analysis
Functionally-fitted approach
Trigonometric functions
Numerov-type method
Hyperbolic functions
Clasificación UNESCO
1206.02 Ecuaciones Diferenciales
1206 Análisis Numérico
Fecha de publicación
2021
Verlag
Springerlink
Citación
Abdulganiy, R.I., Ramos, H., Akinfenwa, O.A. et al. (2021) A Functionally-Fitted Block Numerov Method for Solving Second-Order Initial-Value Problems with Oscillatory Solutions. Mediterr. J. Math. 18, 259 . https://doi.org/10.1007/s00009-021-01879-2
Resumen
[EN] A functionally-fitted Numerov-type method is developed for the numerical solution of second-order initial-value problems with oscillatory solutions. The basis functions are considered among trigonometric and hyperbolic ones. The characteristics of the method are studied, particularly, it is shown that it has a third order of convergence for the general second-order ordinary differential equation, y′′=f(x,y,y′), it is a fourth order convergent method for the special second-order ordinary differential equation, y′′=f(x,y). Comparison with other methods in the literature, even of higher order, shows the good performance of the proposed method.
URI
ISSN
1660-5446
DOI
10.1007/s00009-021-01879-2
Versión del editor
Aparece en las colecciones
Patrocinador
Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE
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