Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations

Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by collocation method based on cubic B-spline. Usual finite difference scheme is used for time and space integrations. Cubic B-spline is applied as interpolation function. The stability analysis of the scheme...

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Bibliographic Details
Main Authors: Joan Goh, Ahmad Abd. Majid, Ahmad Izani Md. Ismail
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/458701