Solution of a Birkhoff Interpolation Problem by a Special Spline Function

Solution of a Birkhoff Interpolation Problem by a Special Spline Function

In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions....

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Veröffentlicht in:International journal of computer applications 2012-01, Vol.48 (9), p.22-27
Hauptverfasser: Pandey, Ambrish Kumar, Singh, K B, Ahmad, Qazi Shoeb
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Derivatives
Interpolation
Mathematical analysis
Mathematical models
Spline functions
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Zusammenfassung:In this paper we have discussed a special lacunary interpolation problem in which the function values, first derivatives at the nodes and the third derivatives at any point ? (0 in between the nodes are prescribed. We have solved the unique existence and convergence problems, using spline functions. As this holds for any ? (0 we named it a generalized problem.
ISSN:0975-8887
0975-8887
DOI:10.5120/7376-0174