Title of article :
COMPARISON OF INTEGRO QUADRATIC and QUARTIC SPLINE INTERPOLATION
Author/Authors :
HAGHIGHI, AR Department of Mathematics - Faculty of Science - Technical and Vocational University(TVU) - Tehran, Iran , AGHAZADEH, A Faculty of Mathematical Sciences - Urmia University of Technology - Urmia, Iran , ABEDIN, A Faculty of Mathematical Sciences - University of Tabriz - Tabriz, Iran
Abstract :
In this paper quadratic and quartic B-splines were used for reconstruction
of an approximating function, where the integral values of successive subintervals were
used instead of function values at the knots. After introducing integro quadratic and
quartic interpolation a comparison was done between them through presenting numerical
examples. The interpolation errors for quadratic and quartic integro interpolation are
studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation methods.
Keywords :
Integral values , quadratic and quartic B-spline , integro interpolation , super convergence , error analysis
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
