The Use of Cubic Spline Functions to Two-point Boundary Value Problems
Mathematica Applicanda, Tome 21 (1992) no. 35.
Voir la notice de l'article dans European Digital Mathematics Library
In this paper we consider an algorithm for cubic spline function approximation of the solution of two-point boundary value problem for second order linear ordinary differential equation. This algorithm requires O(N) arithmetical operations, where N is the number of subdivisions of considered interval. Error bounds for the solution are derived and numerical examples are given.
Mots-clés :
Boundary value problem
@article{MA_1992__21_35_292939, author = {G. Hobot}, title = {The {Use} of {Cubic} {Spline} {Functions} to {Two-point} {Boundary} {Value} {Problems}}, journal = {Mathematica Applicanda}, publisher = {mathdoc}, volume = {21}, number = {35}, year = {1992}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/MA_1992__21_35_292939/} }
G. Hobot. The Use of Cubic Spline Functions to Two-point Boundary Value Problems. Mathematica Applicanda, Tome 21 (1992) no. 35. https://geodesic-test.mathdoc.fr/item/MA_1992__21_35_292939/