The Use of Cubic Spline Functions to Two-point Boundary Value Problems

G. Hobot

Mathematica Applicanda (1992)

  • Volume: 21, Issue: 35
  • ISSN: 1730-2668

Abstract

top
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.

How to cite

top

G. Hobot. "The Use of Cubic Spline Functions to Two-point Boundary Value Problems." Mathematica Applicanda 21.35 (1992): null. <http://eudml.org/doc/292939>.

@article{G1992,
abstract = {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.},
author = {G. Hobot},
journal = {Mathematica Applicanda},
keywords = {Boundary value problem},
language = {eng},
number = {35},
pages = {null},
title = {The Use of Cubic Spline Functions to Two-point Boundary Value Problems},
url = {http://eudml.org/doc/292939},
volume = {21},
year = {1992},
}

TY - JOUR
AU - G. Hobot
TI - The Use of Cubic Spline Functions to Two-point Boundary Value Problems
JO - Mathematica Applicanda
PY - 1992
VL - 21
IS - 35
SP - null
AB - 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.
LA - eng
KW - Boundary value problem
UR - http://eudml.org/doc/292939
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.