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