Motsepe, KFedotov, IShatalov, MJoubert, SV2009-03-242009-03-242008-09Motsepe, 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 153-1619780620434546http://hdl.handle.net/10204/3245Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 SeptemberStudents 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 presentedenSpecial functionsLegendre functionMathcadNumerical algorithmBuffelspoort TIME2008 Peer-reviewed Conference ProceedingsTechnology and its Integration into Mathematics Education ConferenceTIMEConference PresentationMotsepe, 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/10204/3245Motsepe, K, I Fedotov, M Shatalov, and SV Joubert. "Numerical computation of special functions with applications to physics." (2008): http://hdl.handle.net/10204/3245Motsepe 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 .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 -