DaSilva, R. M.; http://lattes.cnpq.br/0711722231846705; SILVA, Rosana Marques da.
Resumen:
The first purpose of this work is to present a review of methods for numerical solution
of boundary-value problems in ordinary differential equations (BVP/ODE). The shooting
and multiple shooting, implicit Runge-Kutta, collocation, and finite elements methods are
reviewed.
The second purpose is to briefly present an assessment of performance of the methods
when implemented as computer programs. For this end, the methods have been coded and
numerical results delivered by codes are compared with those obtained by the packages
MUS, COLSYS, and COLNEW, which implemented multiple shooting method, collocation
method with B-splines, and collocation method with monomial bases, respectively.
The codes MUS and COLNEW are the best available. The COLSYS package failed
to solve nonlinear problems.