Um estudo de solução numérica de problemas de valor de contorno para equações diferenciais ordinárias.

Abstract

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.