Girişimcilik Bölümü / Department of Entrepreneurship
Permanent URI for this collectionhttps://hdl.handle.net/11413/6791
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Browsing Girişimcilik Bölümü / Department of Entrepreneurship by Publisher "ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA"
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Publication B-spline Interpolation Compared with Finite Difference, Finite Element and Finite Volume Methods Which Applied to Two-Point Boundary Value Problems(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2006-04-01) Çağlar, Hikmet; Çağlar, Nazan; Elfaituri, Khaled; TR114368; TR110809This paper considers the B-spline interpolation and compares this method with finite difference, finite element and finite volume methods which applied to the two-point boundary value problem. -d/dx(p(x)du/dx) = f(x), a < x < b, u(a) = u(b) = 0.Publication Fifth-degree B-spline solution for a fourth-order parabolic partial differential equations(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2008-07-15) Çağlar, Hikmet; Çağlar, Nazan; TR114368; TR110809In this paper, we find the numerical solution of a fourth-order parabolic partial differential equation. A family of B-spline methods has been considered for the numerical solution of the problems. The results show that the present method is an applicable technique and approximates the exact solution very well. (c) 2008 Elsevier Inc. All rights reserved.Publication Solution of fifth order boundary value problems by using local polynomial regression(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2007-03-15) Çağlar, Hikmet; Çağlar, Nazan; TR114368; TR110809In this paper, we present a novel method based on the local polynomial regression for solving of fifth order boundary value problems. The method is tested on numerical example to demonstrate its usefulness. The method presented in this paper is also compared with those developed by Siddiqi and Akram [Solution of fifth order boundary value problems using nonpolynomial spline technique, Appl. Math. Comput. 175 (2006) 1575-1581], as well and is observed to be better. (c) 2006 Elsevier Inc. All rights reserved.