Summary
A modification of the well-known continuation (or homotopy) method for actual computation is worked out. Compared with the classical method, the modification seems to be a more reliable device for supplying useful initial data for shooting techniques. It is shown that computing time may be significantly reduced in the numerical solution of sensitive realistic two-point boundary value problems.
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Deuflhard, P., Pesch, H.J. & Rentrop, P. A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques. Numer. Math. 26, 327–343 (1976). https://doi.org/10.1007/BF01395950
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DOI: https://doi.org/10.1007/BF01395950