×

Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems. IV. (English) Zbl 0579.65080

A fourth order nonlinear two-point boundary value problem is considered, using the automatic calculation of derivatives method described by the authors [ibid. 8, 1497-1505 (1984; Zbl 0566.65063, Automatic solution of optimal control problems, III. Differential and integral constraints, IEEE Control Syst. Magazine 4, 3-8 (1984) and by the second author, the third author and A. Tishler Appl. Math. Comput. 12, 119-137 (1983; Zbl 0533.65035)].

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Sukhanov, A. A., A method of solution of nonlinear two-point boundary value problems, J. Numer. Math. math. Phys., 23, 228-231 (1983), (In Russian.) · Zbl 0522.65055
[2] Kalaba, R.; Spingarn, K., Control, Identification, and Input Optimization (1982), Plenum Press: Plenum Press New York · Zbl 0549.93015
[3] Bellman, R. E.; Kalaba, R. E., Quasilinearization and Nonlinear Boundary-Value Problems (1965), American Elsevier: American Elsevier New York · Zbl 0139.10702
[5] Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K., Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems II, J. Optim. Theory Applic., 46 (1985) · Zbl 0566.65062
[6] Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K., Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems—III, Nonlinear Analysis, 8, 1497-1505 (1984) · Zbl 0566.65063
[7] Kalaba, R.; Spingarn, K., Automatic solution of optimal control problems, III. Differential and integral constraints, IEEE Control Systems Magazine, 4, 3-8 (February 1984)
[8] Kalaba, R.; Rasakhoo, N.; Tishler, A., Nonlinear least squares via automatic derivative evaluation, Appl. math. Computat., 12, 119-137 (1983) · Zbl 0533.65035
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.