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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/3244

Title: Solution of heat equation with variable coefficient using derive
Authors: Lebelo, RS
Fedotov, I
Shatalov, M
Keywords: Partial differential equations
Coefficients
Green's function
Heat flow
Computer algebra system
CAS
Technology and its Integration into Mathematics Education Conference
TIME
Buffelspoort TIME2008 Peer-reviewed Conference Proceedings
Issue Date: Sep-2008
Publisher: Buffelspoort TIME2008 Peer-reviewed Conference Proceedings
Citation: Lebelo, RS, Fedotov, I and Shatalov, M. 2008. Solution of heat equation with variable coefficient using derive. Technology and its Integration into Mathematics Education Conference (TIME). Buffelspoort, South Africa, 22 - 26 September 2008, pp 129 -137
Abstract: In this paper, the method of approximating solutions of partial differential equations with variable coefficients is studied. This is done by considering heat flow through a one-dimensional model with variable cross-sections. Two cases are considered. The first one involves quadratic approximation of the variable coefficient by direct integration. This case is studied using a conic domain. The second case approximates the variable coefficient quadratically and by step functions. The solution of the problem in each case is expressed using Green's function, and the results are compared. By the suitable use of a computer algebra system (CAS) all of these ideas can easily enough be introduced at the advanced undergraduate level
Description: Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 September
URI: http://hdl.handle.net/10204/3244
ISBN: 9780620434546
Appears in Collections:Advanced mathematical modelling and simulation
General science, engineering & technology

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