A predictor-corrector form of the numerov method for coupled equations
1982; Elsevier BV; Volume: 25; Issue: 1 Linguagem: Inglês
10.1016/0010-4655(82)90039-x
ISSN1879-2944
Autores Tópico(s)Matrix Theory and Algorithms
ResumoA new algorithm is presented for solving nonlinear second-order coupled differential equations of the form y′ = F(x,y). Modifications of the standard Numerov procedure have resulted in a rapid, noniterative, predictor-corrector form without matrix inversion and with improved accuracy. Comparisons with the usual Numerov and de Vogelaere methods are presented for the homogeneous case F(x,y) = -G(x)y often encountered in quantum scattering theory. Tests are also presented of a version with variable step size and with stabilization by orthogonalization of the solutions at internally determined. intervals.
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