An extensible differential equation solver

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An extensible differential equation solver

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ACM SIGSAM Bulletin archive
Volume 35 , Issue 1 (March 2001) table of contents

Pages: 3 - 7

Year of Publication: 2001

ISSN:0163-5824

Author

Barton L. Willis

Univ. of Nebraska at Kearney, Kearney

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 10, Citation Count: 3

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ABSTRACT

We describe a method for solving linear second order differential equations in terms of hypergeometric and other (less well known) special functions. Intended as a method for computer algebra systems, the solver described in this article uses a database of functions to construct an anstatz for the solution. A user may extend the solver by appending functions to the database. An overview of a Macsyma language implementation, with sample calculations, is given.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Daniel Zwillinger. Handbook of Differential Equations. Academic Press, Boston, Mass., 1989.
	2	Barton Willis. MAM, An extensible differential equation solver for Macsyma. Software may be requested from willis@unk.edu.
	3	Macsyma Inc. Arlington, Mass., USA. Macsyma Version 422.0, 1999.
	4	Maxima 5.4 Software may be downloaded from www.ma.utexas.edu/users/wfs/maxima.html
	5	Milton Abramowitz, Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,, Dover Publications, Incorporated, 1974

CITED BY 3

	Manuel Bronstein , Sébastien Lafaille, Solutions of linear ordinary differential equations in terms of special functions, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.23-28, July 07-10, 2002, Lille, France
	L. Chan , E. S. Cheb-Terrab, Non-liouvillian solutions for second order Linear ODEs, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.80-86, July 04-07, 2004, Santander, Spain
	Ruben Debeerst , Mark van Hoeij , Wolfram Koepf, Solving differential equations in terms of bessel functions, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, July 20-23, 2008, Linz/Hagenberg, Austria