Now showing items 1-10 of 18
The principal component analysis of continuous sample curves with higher-order B-spline functions
(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 ...
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)
In 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 ...
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)
This 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), ...
The numerical solution of the one-dimensional heat equation by using third degree B-spline functions
(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 ...
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)
In 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 ...
A model proposal for the chaotic structure of Istanbul stock exchange
(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2008-06)
Chaos theory is considered a novel way of understanding the behaviour of nonlinear dynamic systems. It is well known that the evaluation of chaotic systems is dependent on initial conditions since exponential growth error ...
B-Spline Solution Of The Black-Scholes Partial Differential Equation
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2010-07)
The numerical solutions of several mathematical models In the financial economics arc arising. Most of the models are based on the Black-Scholes partial differential equations. In this paper, the Black-Scholes option pricing ...
B-spline solution of singular boundary value problems
(ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA, 2006-11-15)
Homogeneous and non-homogenous singular boundary value problems (special case) are solved using B-splines. The original differential equation is modified at singular point then the boundary value problem is treated by using ...
B-spline Method For Solving Linear System Of Second-Order Boundary Value Problems
(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-03)
The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method ...
The numerical solution of partial differential equations with local polynomial regression(LPR)
(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.