TY - JOUR
ID - 3280
TI - Convergence Analysis of Spline Solution of Certain Two-Point Boundary Value Problems
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Rashidinia, J.
AU - Jalilian, R.
AU - Mohammadi, R.
AD - Department of Mathematics,Iran University of Science and Technology
Y1 - 2009
PY - 2009
VL - 16
IS - 2
SP -
EP -
KW - Two-point boundary value problem
KW - Non-polynomial Quintic spline
KW - Convergence analysis
DO -
N2 - The smooth approximate solution of second order boundary value problems are developed
by using non-polynomial quintic spline function. We obtained the classes of numerical methods, which are
second, fourth and six-order. For a specic choice of the parameters involved in a non-polynomial spline,
truncation errors are given. A new approach convergence analysis of the presented methods are discussed.
Three test examples are considered in our references. By considering the maximum absolute errors in
the solution at grid points and tabulated in tables for dierent choices of step size, we conclude that our
presented methods produce accurate results in comparison with those obtained by existing methods.
UR - http://scientiairanica.sharif.edu/article_3280.html
L1 - http://scientiairanica.sharif.edu/article_3280_7ca9e7e1289d2f6dc2edc7e5a3a0133f.pdf
ER -