UNCONDITIONALLY STABLE METHODS FOR 2ND-ORDER FREDHOLM INTEGRODIFFERENTIAL EQUATIONS

Authors
GAREY LE GLADWIN CJ SHAW RE
Citation
Le. Garey et al., UNCONDITIONALLY STABLE METHODS FOR 2ND-ORDER FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, Applied mathematics and computation, 81(2-3), 1997, pp. 275-286
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
81
Issue
2-3
Year of publication
1997
Pages
275 - 286
Database
ISI
SICI code
0096-3003(1997)81:2-3<275:USMF2F>2.0.ZU;2-I
Abstract
In this article, second-order Fredholm integro-differential equations with initial conditions are written as a system of first-order equatio ns and solved numerically by finite difference methods. Conditions for convergence are presented, and a fourth-order method is applied to a test equation in connection with examining the asymptotic stability of such problems. (C) Elsevier Science Inc., 1997