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Título
A second-derivative functionally fitted method of maximal order for oscillatory initial value problems.
Autor(es)
Materia
Collocation Exponential function
Functionally fitted
Maximal order
Second derivative
Trigonometric function
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2021
Editor
Springer
Citación
Abdulganiy, R.I., Akinfenwa, O.A., Ramos, H. et al. A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. Comp. Appl. Math. 40, 188 (2021). https://doi.org/10.1007/s40314-021-01582-8
Resumen
[EN]This paper deals with the construction of a functionally fitted method for solving first-order differential systems whose solutions present an oscillatory behaviour. The method incorporates the second derivative to obtain better accuracies and is developed on the basis that it provides no errors when the true solution is a linear combination of some trigonometric and exponential functions containing a parameter. The main properties of the method are presented, showing a fourth-order convergence. Some numerical experiments are included to show the good performance of the proposed method.
URI
ISSN
2238-3603
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