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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/3245

Title: Numerical computation of special functions with applications to physics
Authors: Motsepe, K
Fedotov, I
Shatalov, M
Joubert, SV
Keywords: Special functions
Legendre function
Mathcad
Numerical algorithm
Buffelspoort TIME2008 Peer-reviewed Conference Proceedings
Technology and its Integration into Mathematics Education Conference
TIME
Issue Date: Sep-2008
Publisher: Buffelspoort TIME2008 Peer-reviewed Conference Proceedings
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
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
Description: Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 September
URI: http://hdl.handle.net/10204/3245
ISBN: 9780620434546
Appears in Collections:Advanced mathematical modelling and simulation
General science, engineering & technology

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