OCTIC B-SPLINE COLLOCATION SOLUTION WITH NON-UNIFORM LENGTH FOR EIGHTH ORDER LINEAR DIFFERENTIAL EQUATION
DOI:
https://doi.org/10.29121/granthaalayah.v5.i6.2017.1995Keywords:
B-Spline, Collocation, Recursive, Linear Differential Equation, OcticAbstract [English]
Presentation of Numerical solution for eighth order linear boundary value problem using Octic B-spline collocation method with non-uniform length is the subject of this paper. In this approach recursive form of B-spline function is used as basis in collocation method. Numerical examples are considered to show the advantage of recursive of B-spline function particularly in non-fixing the length of subintervals.
Downloads
References
Boutayeb,Twizell, E.H : Finite difference methods for the solution of eighth order boundary value problems.Int.J.Comput.Math.48,63-75 (1993) DOI: https://doi.org/10.1080/00207169308804193
Vishwanadam, Ballem : Numerical solution of eighth order boundary value problems by Galarekin method with quintic B-splines.Int.J.Comput.Appl.89(15),7-13(2014) DOI: https://doi.org/10.5120/15705-4562
Siddiqi, Iftikhar,M :Numerical solution of higher order boundary value problems.Abstr.Appl.Ann.(2013) DOI: https://doi.org/10.1155/2013/427521
Zaffer Elahi, Ghazala Akram, Shahid Saeed Siddiqi: Numerical solution for solving special eighth order higher order linear boundary value problems using Legender Galerkin Method.J.Math sci (2016),Springer link.com DOI: https://doi.org/10.1007/s40096-016-0194-9
I. J. SCHOENBERG Contributions to the problem of approximation of equidistant data by analytic functions, Quart. Appl. Math. 4 (1946), 45-99; 112-141. DOI: https://doi.org/10.1090/qam/16705
H. B. CURRYA ND I. J. SCHOENBERG On Polya frequency functions IV: The fundamental spline functions and their limits, J. Anal. Math. 17 (1966), 71-107. DOI: https://doi.org/10.1007/BF02788653
CARL DE BOOR On Calculating with B-plines. JOURNAL OF APPROXIMATION THEORY, SO-62 (1972). DOI: https://doi.org/10.1016/0021-9045(72)90080-9
Downloads
Published
How to Cite
Issue
Section
License
With the licence CC-BY, authors retain the copyright, allowing anyone to download, reuse, re-print, modify, distribute, and/or copy their contribution. The work must be properly attributed to its author.
It is not necessary to ask for further permission from the author or journal board.
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.