MIXED INTERPOLATION COLLOCATION METHODS FOR FIRST AND 2ND-ORDER VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH PERIODIC-SOLUTION

Authors
BRUNNER H MAKROGLOU A MILLER RK
Citation
H. Brunner et al., MIXED INTERPOLATION COLLOCATION METHODS FOR FIRST AND 2ND-ORDER VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH PERIODIC-SOLUTION, Applied numerical mathematics, 23(4), 1997, pp. 381-402
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
23
Issue
4
Year of publication
1997
Pages
381 - 402
Database
ISI
SICI code
0168-9274(1997)23:4<381:MICMFF>2.0.ZU;2-Z
Abstract
We study the application of the so-called mixed interpolation methods derived by De Meyer, Vanthournout and Vanden Berghe (1990) in the nume rical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solut ions is examined and a convergence analysis of the numerical method is given. Numerical results are included for two examples. (C) 1997 Else vier Science B.V.