Now showing items 1-6 of 6
B-Spline Solution For A Singularly Perturbed Convection-Dominated Diffusion Equation
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2009-04)
In this study, B-spline method is applied to the convection-dominated diffusion problems. The numerical solution of the equations are discussed and illustrated with an example. Computational results are provided to demonstrate ...
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 ...
Dynamics of the solution of Bratu's equation
(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2009-12-15)
In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a one-dimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive ...
B-spline Solution Of Non-linear Singular Boundary Value Problems Arising In Physiology
(Pergamon-Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford Ox5 1Gb, England, 2009-02-15)
We use B-spline functions to develop a numerical method for computing approximations to the solution of non-linear singular boundary value problems associated with physiology science. The original differential equation is ...
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 and the Chaotic Dynamics of Troesch's Problem
(Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions ...