Now showing items 21-24 of 24

    • Spline Solution of Nonlinear Beam Problems 

      Çağlar, Nazan; Çağlar, Hikmet; Çağal, Behiç (2003-03)
      Nonlinear, fourth-order boundary-value problems (special case) are solved using sixth-degree B-splines. The convergence of the method is discussed. The method is tested on two beam problems from the literature.
    • The numerical solution of partial differential equations with local polynomial regression(LPR) 

      Çağlar, Hikmet; Çağlar, Nazan; Çağal, Behiç (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2009-10)
      In this paper, we extended the LPR method to solve the partial differential equations. Numerical experiments are presented to demonstrate the utility and the efficiency of the proposed computational procedure.
    • The numerical solution of the one-dimensional heat equation by using third degree B-spline functions 

      Çağlar, Hikmet; Özer, Mehmet; Çağlar, Nazan (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-11)
      In this paper, the boundary value problem for the one-dimensional heat equation with a nonlocal initial condition is examined by using the third degree B-splines functions. The numerical solution of the equations are ...
    • The principal component analysis of continuous sample curves with higher-order B-spline functions 

      Çağlar, Hikmet; Çağlar, Nazan (EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA, 2006-06)
      This article concerns the Principal Component Analysis (PCA) of a vector process with higher-order B-spline functions. The approximated PCA of this well-known process is compared with the classical PCA of the different ...