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Numerical computation of special functions with applications to physics

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dc.contributor.author Motsepe, K
dc.contributor.author Fedotov, I
dc.contributor.author Shatalov, M
dc.contributor.author Joubert, SV
dc.date.accessioned 2009-03-24T13:27:04Z
dc.date.available 2009-03-24T13:27:04Z
dc.date.issued 2008-09
dc.identifier.citation Motsepe, K, Fedotov, I, Shatalov, M and Joubert, SV. 2008. Numerical computation of special functions with applications to physics. Technology and its Integration into Mathematics Education Conference (TIME). Buffelspoort, South Africa, 22 - 26 September 2008, pp 153-161 en
dc.identifier.isbn 9780620434546
dc.identifier.uri http://hdl.handle.net/10204/3245
dc.description Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 September en
dc.description.abstract Students of mathematical physics, engineering, natural and biological sciences sometimes need to use special functions that are not found in ordinary mathematical software. In this paper a simple universal numerical algorithm is developed to compute the Legendre function values of the first kind using the Legendre differential equation. The computed function values are compared to built-in values in Mathcad14 and Derive6. Error analysis is performed to test the accuracy of the algorithm. Graphical residuals are found to be of order 10-12. Finally, some physical application is presented 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 Special functions en
dc.subject Legendre function en
dc.subject Mathcad en
dc.subject Numerical algorithm en
dc.subject Buffelspoort TIME2008 Peer-reviewed Conference Proceedings en
dc.subject Technology and its Integration into Mathematics Education Conference en
dc.subject TIME en
dc.title Numerical computation of special functions with applications to physics en
dc.type Conference Presentation en
dc.identifier.apacitation Motsepe, K., Fedotov, I., Shatalov, M., & Joubert, S. (2008). Numerical computation of special functions with applications to physics. Buffelspoort TIME2008 Peer-reviewed Conference Proceedings. http://hdl.handle.net/10204/3245 en_ZA
dc.identifier.chicagocitation Motsepe, K, I Fedotov, M Shatalov, and SV Joubert. "Numerical computation of special functions with applications to physics." (2008): http://hdl.handle.net/10204/3245 en_ZA
dc.identifier.vancouvercitation Motsepe K, Fedotov I, Shatalov M, Joubert S, Numerical computation of special functions with applications to physics; Buffelspoort TIME2008 Peer-reviewed Conference Proceedings; 2008. http://hdl.handle.net/10204/3245 . en_ZA
dc.identifier.ris TY - Conference Presentation AU - Motsepe, K AU - Fedotov, I AU - Shatalov, M AU - Joubert, SV AB - Students of mathematical physics, engineering, natural and biological sciences sometimes need to use special functions that are not found in ordinary mathematical software. In this paper a simple universal numerical algorithm is developed to compute the Legendre function values of the first kind using the Legendre differential equation. The computed function values are compared to built-in values in Mathcad14 and Derive6. Error analysis is performed to test the accuracy of the algorithm. Graphical residuals are found to be of order 10-12. Finally, some physical application is presented DA - 2008-09 DB - ResearchSpace DP - CSIR KW - Special functions KW - Legendre function KW - Mathcad KW - Numerical algorithm KW - Buffelspoort TIME2008 Peer-reviewed Conference Proceedings KW - Technology and its Integration into Mathematics Education Conference KW - TIME LK - https://researchspace.csir.co.za PY - 2008 SM - 9780620434546 T1 - Numerical computation of special functions with applications to physics TI - Numerical computation of special functions with applications to physics UR - http://hdl.handle.net/10204/3245 ER - en_ZA


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