Now showing items 1-5 of 5
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.
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 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 ...
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 ...