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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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


Author: Dale W. Alspaugh
Journal: Math. Comp. 28 (1974), 1005-1015
MSC: Primary 65L10
MathSciNet review: 0351091
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0351091-0
PII: S 0025-5718(1974)0351091-0
Keywords: Boundary value problems, invariant imbedding, infinite domain
Article copyright: © Copyright 1974 American Mathematical Society