TITLE:
Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions
AUTHORS:
Parcha Kalyani, Mihretu Nigatu Lemma
KEYWORDS:
Seventh Order Boundary Value Problem, Boundary Value Problem, Ninth Degree Spline Function, Absolute Error
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.2,
February
22,
2016
ABSTRACT: In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley’s method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.