The application of invariant imbedding to the solution of linear two-point boundary value problems on an infinite interval

Alspaugh, Dale W.

doi:10.1090/S0025-5718-1974-0351091-0

The application of invariant imbedding to the solution of linear two-point boundary value problems on an infinite interval
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Math. Comp. 28 (1974), 1005-1015 Request permission

Abstract:

Linear two-point boundary value problems defined on an infinite domain are converted to initial-value problems using invariant imbedding. The resulting Riccati equations are integrated numerically until the desired accuracy is obtained. Several criteria for determining the appropriate length of integration are presented. Several example problems are presented.

References

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Direct Derivation of Invariant Imbedding Equations for Beams from a Variational Principle

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