COMPARISON OF INTEGRO QUADRATIC AND QUARTIC SPLINE INTERPOLATION

A. R. Haghighi, A. Aghazedeh, A. Abedini

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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 eciency and eectiveness of the new interpolation methods.

Keywords

Integral values, quadratic and quartic B-spline, integro interpolation, super convergence, error analysis.