TITLE:
Numerical Solution of the Seventh Order Boundary Value Problems Using B-Spline Method
AUTHORS:
Maryam Khazaei, Yeganeh Karamipour
KEYWORDS:
Spline and B-Spline Functions, Seventh Order Boundary Value Problem, Septic B-Spline Collocation Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.12,
December
17,
2021
ABSTRACT: We develop a numerical method for solving the boundary value problem of The Linear Seventh Ordinary Boundary Value Problem by using the seventh-degree B-Spline function. Formulation is based on particular terms of order of seventh order boundary value problem. We obtain Septic B-Spline formulation and the Collocation B-spline method is formulated as an approximation solution. We apply the presented method to solve an example of seventh order boundary value problem in which the result shows that there is an agreement between approximate solutions and exact solutions. Resulting in low absolute errors shows that the presented numerical method is effective for solving high order boundary value problems. Finally, a general conclusion has been included.