Abstract
We show that, like the method of adjoints, the method of complementary functions can be effectively used to solve nonlinear boundary-value problems.
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Roberts, S., andShipman, J.,Two-Point Boundary-Value Problems: Shooting Methods, American Elsevier, New York, New York, 1972.
Agarwal, R.,The Numerical Solution of Multipoint Boundary-Value Problems, Journal of Computational and Applied Mathematics, Vol. 5, No. 1, 1979.
Agarwal, R.,On the Periodic Solutions of Nonlinear Second-Order Differential Systems, Journal of Computational and Applied Mathematics, Vol. 5, No. 2, 1979.
Miele, A.,Method of Particular Solutions for Linear, Two-Point Boundary-Value Problems, Journal of Optimization Theory and Applications, Vol. 2, No. 4, 1968.
Miele, A., andIyer, R. R.,General Technique for Solving Nonlinear, Two-Point Boundary-Value Problems via the Method of Particular Solutions, Journal of Optimization Theory and Applications, Vol. 5, No. 5, 1970.
Miele, A., andIyer, R. R.,Modified Quasilinearization Method for Solving Nonlinear, Two-Point Boundary-Value Problems, Journal of Mathematics Analysis and Applications, Vol. 36, No. 3, 1971.
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Communicated by S. M. Roberts
This work was supported by the Alexander von Humboldt Foundation. The author is thankful to Prof. G. Hämmerlin for providing the facilities and to Miss J. Gumberger for performing numerical tests. The author is also indebted to Dr. S. M. Roberts for his suggestions on the first draft of this paper.
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Agarwal, R.P. On the method of complementary functions for nonlinear boundary-value problems. J Optim Theory Appl 36, 139–144 (1982). https://doi.org/10.1007/BF00934344
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DOI: https://doi.org/10.1007/BF00934344