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Solution of heat equation with variable coefficient using derive

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dc.contributor.author Lebelo, RS
dc.contributor.author Fedotov, I
dc.contributor.author Shatalov, M
dc.date.accessioned 2009-03-24T13:25:06Z
dc.date.available 2009-03-24T13:25:06Z
dc.date.issued 2008-09
dc.identifier.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 en
dc.identifier.isbn 9780620434546
dc.identifier.uri http://hdl.handle.net/10204/3244
dc.description Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 September en
dc.description.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 en
dc.description.sponsorship Tshwane University of Technology en
dc.language.iso en en
dc.publisher Buffelspoort TIME2008 Peer-reviewed Conference Proceedings en
dc.subject Partial differential equations en
dc.subject Coefficients en
dc.subject Green's function en
dc.subject Heat flow en
dc.subject Computer algebra system en
dc.subject CAS en
dc.subject Technology and its Integration into Mathematics Education Conference en
dc.subject TIME en
dc.subject Buffelspoort TIME2008 Peer-reviewed Conference Proceedings en
dc.title Solution of heat equation with variable coefficient using derive en
dc.type Conference Presentation en
dc.identifier.apacitation Lebelo, R., Fedotov, I., & Shatalov, M. (2008). Solution of heat equation with variable coefficient using derive. Buffelspoort TIME2008 Peer-reviewed Conference Proceedings. http://hdl.handle.net/10204/3244 en_ZA
dc.identifier.chicagocitation Lebelo, RS, I Fedotov, and M Shatalov. "Solution of heat equation with variable coefficient using derive." (2008): http://hdl.handle.net/10204/3244 en_ZA
dc.identifier.vancouvercitation Lebelo R, Fedotov I, Shatalov M, Solution of heat equation with variable coefficient using derive; Buffelspoort TIME2008 Peer-reviewed Conference Proceedings; 2008. http://hdl.handle.net/10204/3244 . en_ZA
dc.identifier.ris TY - Conference Presentation AU - Lebelo, RS AU - Fedotov, I AU - Shatalov, M AB - 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 DA - 2008-09 DB - ResearchSpace DP - CSIR KW - Partial differential equations KW - Coefficients KW - Green's function KW - Heat flow KW - Computer algebra system KW - CAS KW - Technology and its Integration into Mathematics Education Conference KW - TIME KW - Buffelspoort TIME2008 Peer-reviewed Conference Proceedings LK - https://researchspace.csir.co.za PY - 2008 SM - 9780620434546 T1 - Solution of heat equation with variable coefficient using derive TI - Solution of heat equation with variable coefficient using derive UR - http://hdl.handle.net/10204/3244 ER - en_ZA


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