Investigation in Lacunary Interpolations with Applications: University of Sulaimani Kurdistan Region- Iraq - Softcover

Hamasalh, Faraidun; Albayati, Abbas; Saeed, Rostam

Softcover

ISBN 10: 3846511536 ISBN 13: 9783846511534

Publisher: LAP LAMBERT Academic Publishing, 2011

Synopsis

The aim of this Book was to present some new derivations and applications and uses of the numerical analysis in interpolation of the spline functions. The development of new algorithms by interpolated spline functions with convergence; existence; uniqueness and stability analysis were investigated. Firstly the lacunary interpolation problem consisted of, finding the sixth degree spline of deficiency four, interpolating the data given on the function value with third and fifth order in the interval[0, 1]. Under suitable assumptions, the existences; uniqueness and the error bounds investigated. Secondly a quintic-spline interpolation algorithm presented for the solution of second order initial value problems with a new class of interpolations based on quintic -splines as an approximation to the exact solution of such problems. Finally, a quartic interpolated spline function algorithm were developed to find an approximation solutions to error estimate for -spline which interpolate the first & third derivatives of a given smooth functions. The results indicated that the presented spline function algorithm proved their effectiveness in solving the second order initial value problems.

About this title

About the Author

Faraidun K. Hamasalh (1-7-1978) was born in Sulaimani, Kurdistan Region-Iraq. I obtained important results in Numerical Analysis and Differential Equations and more interesting the field of Spline Functions, have many applications were published.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2011
• Language: English
• ISBN 10: 3846511536
• ISBN 13: 9783846511534
• Binding: Paperback
• Number of pages: 92