SOLUTION OF EMDEN-TYPE PROBLEMS USING ACCURATE, EFFICIENT DISCRETIZATION SCHEMES

Authors
MOONEY JW
Citation
Jw. Mooney, SOLUTION OF EMDEN-TYPE PROBLEMS USING ACCURATE, EFFICIENT DISCRETIZATION SCHEMES, Computer physics communications, 83(2-3), 1994, pp. 245-254
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
83
Issue
2-3
Year of publication
1994
Pages
245 - 254
Database
ISI
SICI code
0010-4655(1994)83:2-3<245:SOEPUA>2.0.ZU;2-D
Abstract
Linear algorithms which converge quadratically to solutions of Emden e quations are described. Two novel discretisations for these algorithms provide a solution accuracy of O(h(2)), enabling extrapolation to be easily applied. The methodology used is relevant to other physical pro blems, described both by linear and nonlinear (singular) boundary valu e problems.