STABILITY OF A NUMERICAL-SOLUTION OF A NONLINEAR VOLTERRA INTEGRAL-EQUATION OF CONVOLUTION TYPE

Authors
FORD NJ BAKER CTH
Citation
Nj. Ford et Cth. Baker, STABILITY OF A NUMERICAL-SOLUTION OF A NONLINEAR VOLTERRA INTEGRAL-EQUATION OF CONVOLUTION TYPE, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 401-402
Citations number
3
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
1
Pages
401 - 402
Database
ISI
SICI code
0044-2267(1996)76:<401:SOANOA>2.0.ZU;2-2
Abstract
We consider the use of certain classes of quadrature rule in the numer ical solution of y(t) = g(t) + integral(0)(t) k(t-s)phi(y(s))ds, t is an element of IR+ We give conditions under which the qualitative behav iour of the solution to the integral equation is preserved in the nume rical scheme.