Zaki Ahmed Zaki Ahmed Atwa
Lecturer
The Numerical Solution of Linear Third Order Boundary Value Problems using Nonpolynomial Spline Technique
Journal of American Science. • 2010
Publication Information
Authors
F.A. Abd El-Salam, A.A. El-Sabbagh and Z.A. ZAki*
Keywords
Quartic non-polynomial spline; third order two-point boundary
Journal
Journal of American Science.
Publisher
Not Available
Volume
6
Issue
12
Pages
303-309
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract: Second and fourth order convergent methods based on Quartic nonpolynomial spline function are
presented for the numerical solution of a third order two-point boundary value problem. The proposed approach
gives better approximations than existing polynomial spline and finite difference methods and has a lower
computational cost. Convergence analysis of the proposed method is discussed; two numerical examples are
included to illustrate the efficiency of the method.
presented for the numerical solution of a third order two-point boundary value problem. The proposed approach
gives better approximations than existing polynomial spline and finite difference methods and has a lower
computational cost. Convergence analysis of the proposed method is discussed; two numerical examples are
included to illustrate the efficiency of the method.