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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(2):232-243; doi:10.1093/qjmam/10.2.232
© 1957 by Oxford University Press
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BOUNDARY-VALUE TECHNIQUES FOR THE NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

L. FOX and A. R. MITCHELL

( The National Physical Laboratory Teddington, Middlesex
Mathematics Department, United College, St. Andrews University )

Initial-value systems, particularly involving first-order differential equations, can be transformed into systems of higher order, and treated either as initial-value problems or as boundary-value problems. Two such transformations are considered in detail, and the advantages and disadvantages of these methods are discussed and illustrated with particular reference to linear systems.


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