Extended cubic B-spline method for solving a linear system of second-order boundary value problems

A method based on extended cubic B-spline is proposed to solve a linear system of second-order boundary value problems. In this method, two free parameters, [Formula: see text] and [Formula: see text] , play an important role in producing accurate results. Optimization of these parameters are carrie...

Descripción completa

Detalles Bibliográficos
Autores principales: Heilat, Ahmed Salem, Hamid, Nur Nadiah Abd, Ismail, Ahmad Izani Md.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4978665/
https://www.ncbi.nlm.nih.gov/pubmed/27547688
http://dx.doi.org/10.1186/s40064-016-2936-4
Descripción
Sumario:A method based on extended cubic B-spline is proposed to solve a linear system of second-order boundary value problems. In this method, two free parameters, [Formula: see text] and [Formula: see text] , play an important role in producing accurate results. Optimization of these parameters are carried out and the truncation error is calculated. This method is tested on three examples. The examples suggest that this method produces comparable or more accurate results than cubic B-spline and some other methods.

Ejemplares similares