Abstract
An efficient extrapolation scheme whose basic integrator is the inverse Euler scheme (cf. Fatunla, 1982) is proposed for nonlinear singular initial value problems y′ = ƒ(x, y), y(0) = y 0 . The automatic (polynomial/rational) extrapolation code DIFEXI (Deufhard 1983, 1985) is modified to accomodate the basic integrator. The new algorithm was implemented in variable step, variable order mode and compares favourably with the earlier works.
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