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2012 Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations
Joan Goh, Ahmad Abd. Majid, Ahmad Izani Md. Ismail
J. Appl. Math. 2012(SI11): 1-8 (2012). DOI: 10.1155/2012/458701

Abstract

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 is examined by the Von Neumann approach. The efficiency of the method is illustrated by some test problems. The numerical results are found to be in good agreement with the exact solution.

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Joan Goh. Ahmad Abd. Majid. Ahmad Izani Md. Ismail. "Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations." J. Appl. Math. 2012 (SI11) 1 - 8, 2012. https://doi.org/10.1155/2012/458701

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.65156
MathSciNet: MR2923353
Digital Object Identifier: 10.1155/2012/458701

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI11 • 2012
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