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Type: Journal article
Title: Gaussian basis functions for solving differential equations
Author: Allison, A.
Abbott, D.
Pearce, C.
Citation: Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2009; 51(SUPPL.):C747-C767
Publisher: Australian Mathematical Society
Issue Date: 2009
ISSN: 1446-1811
Statement of
A. Allison, D. Abbott and C.E.M. Pearce
Abstract: We derive approximate numerical solutions for an ordinary differential equation common in engineering using two different types of basis functions, polynomial and Gaussian, and a maximum discrepancy error measure. We compare speed and accuracy of the two solutions. The basic finding for our example is that while Gaussian basis functions can be used, the computational effort is greater than that required for a polynomial basis given the same degree of error.
Description: Proceedings of the Engineering Mathematics and Applications Conference held in Adelaide, Australia, 6-9 December 2010.
Rights: Copyright Austral. Mathematical Society 2010
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Electrical and Electronic Engineering publications

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