SHOOTING METHODS FOR 2-POINT BVPS WITH PARTIALLY SEPARATED ENDCONDITIONS

Authors
HERMANN M KAISER D
Citation
M. Hermann et D. Kaiser, SHOOTING METHODS FOR 2-POINT BVPS WITH PARTIALLY SEPARATED ENDCONDITIONS, Zeitschrift fur angewandte Mathematik und Mechanik, 75(9), 1995, pp. 651-668
Citations number
26
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
75
Issue
9
Year of publication
1995
Pages
651 - 668
Database
ISI
SICI code
0044-2267(1995)75:9<651:SMF2BW>2.0.ZU;2-I
Abstract
The stabilized march technique is extended to nonlinear two-point boun dary value problems via a new Generalized Brent Method for systems of nonlinear algebraic equations. The resulting algorithms can be used to economically solve systems of nonlinear first-order ordinary differen tial equations under partially separated nonlinear boundary conditions . Numerical results which compare the nonlinear stabilized march metho d with the standard multiple shooting method are given.