A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION
Publish place: 38th Annual Iranian Mathematics Conference
Publish Year: 1386
Type: Conference paper
Language: English
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Document National Code:
AIMC38_267
Index date: 18 August 2008
A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION abstract
In this paper, we introduce a new technique for determining interpolating cubic spline functions with clamped boundary conditon. By intriducing an artificial cost functional and use the important minimum-norm property of spline functions, the problem is modified into one consisting of the minimaization of a positine linear functional over a set of Radon measures. Then we obtain an optimal measure which is approximated by a finite combination of atomic measures, and by using atomic measures we change this one to a finite dimensional linear programming problem. Finally we find a piecewies constant optimal function on every subinterval and then the approximated interpolating cubic spline functions. Some examples are given show the procedure.
A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION Keywords:
A NEW NUMERICAL METHOD FOR INTERPOLATING CUBIC SPLINE FUNCTIONS WITH CLAMPED BOUNDARY CONDITION authors
SOHRAB EFFATI
Department of Mathematics, Teacher training University of Sabzevar, Iran