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

Hamasalh, Faraidun; Albayati, Abbas; Saeed, Rostam

 
9783846511534: Investigation in Lacunary Interpolations with Applications: University of Sulaimani Kurdistan Region- Iraq
Tapa blanda
ISBN 10: 3846511536 ISBN 13: 9783846511534
Editorial: LAP LAMBERT Academic Publishing, 2011

Sinopsis

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.

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Reseña del editor

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.

Biografía del autor

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.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3846511536
ISBN 13 
9783846511534
Encuadernación
Tapa blanda
Número de páginas
92
Contacto del fabricante
no disponible
Persona responsable
no disponible