Spline Function Interpolation Solving a Birkhoff Interpolation Problem for (0,1,5) data
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Abstract
Abstract: The following research work deals with a special type of Birkhoff interpolation problem in which we have 3 set of data prescribed in the unit interval I = [0, 1]. Data values are the function value, first derivatives and fifth derivatives prescribed at nodes of the unit interval. We obtained a unique spline interpolating the given data along with the convergence problem.
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References
. Loscalzo, F.R., Talbot, T. D., (1967) Spline and approximation for solutions of ordinary differential
equations. SIAM J. Numer. Anal., 4: 433-445.
. Micula, Gh.,( 1973) Approximate solution of the differential equation y'' (x) = f(x,y) with spline functions.
Math. ofcomput, 27: 807-816.
. Fawzy, T. (1977) Spline functions and the Cauchy's problem II. Acta Math. Hung, 29 (3-4): 259-271.
. Gyorvari, J., (1984) Lakunare spline funktionun das Cauchy problem, Acta Math Hung, 44 (3-4): 327-335.
. Sallam, S., Hussain, M. A., (1984) deficient spline for approximation to second order differential equations.
Appl. Math Modeling, 8: 408-412.
. Singh, K. B., Pandey, Ambrish Kumar., Ahmad, QaziShoeb., (2012), Solution of a Birkhoff Interpolation
Problem by a Special Spline Function. International J. of Comp. App., 48: 22-27,
. Pandey, A. K., Ahmad, Q. S., Singh, K., (2013) Lacunary Interpolation (0,2;3) Problem and Some
Comparison from Quartic Splines. American J. of App. Math. And Statistics, 1(6): 117-120.