Solving Boundary-Value Problems by Imbedding
- 1 October 1971
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 18 (4) , 594-602
- https://doi.org/10.1145/321662.321674
Abstract
Numerical solutions of boundary-value problems are rather cumbersome. On the other hand, computers are very suitable for solving initial-value problems. We show here how boundary-value problems of nonlinear ordinary differential equations can be reformulated as a rather complicated initial-value problem, whose solution however is more adaptable to numeri- cal computations. Several examples are then solved. The advantage and drawbacks of the method are briefly discussed.Keywords
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