Abstract
Assume that the linear two-point boundary value problem
possesses a unique solution for all λ in the interval 0 ≤ λ ≤ Λ. Consider λ to be a random variable with probability density function f(λ), 0 ≤ λ ≤ Λ. A method for determining the moments
is presented. Numerical experiments show the computational feasibility of the new approach.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Adomian, G., J. Math. Phys. 11, 1069–1084 (1970).
Bekey, G. A. and W. Karplus, Hybrid Computation (John Wiley & Sons, New York, 1968).
Bellman, R. and R. Kalaba, Proc. Nat. Acad. Sci. USA 47, 336–338 (1961).
Berezin, I. S. and N. P. Zhidkhov, Computing Methods (Addison-Wesley Publishing Company, Palo Alto, 1965).
Buell, J., R. Kalaba and E. Ruspini, Int. J. Engin. Sci. 7, 1167–1172 (1969).
Casti, J. and R. Kalaba, Information Sciences 2, 51–67 (1970).
Casti, J., R. Kalaba and B. Vereeke, J. Opt. Th. Applic. 3, 81–88 (1969).
Courant, R. and D. Hilbert, Methods of Mathematical Physics (Interscience Publishers, New York, 1953).
Huss, R. and R. Kalaba, "Invariant Imbedding and the Numerical Determination of Green's Functions", J. Opt. Th. Applic., in press.
Huss, R., H. Kagiwada and R. Kalaba, "A Cauchy System for the Green's Function and the Solution of Two-Point Boundary Value Problems", J. Franklin Institute, in press.
Kagiwada, H. and R. Kalaba, J. Opt. Th. Applic. 1, 33–39 (1967).
Kagiwada, H. and R. Kalaba, J. Math. Anal. Applic. 23, 540–550 (1968).
Kagiwada, H. and R. Kalaba, J. Opt. Th. Applic. 2, 378–385 (1968).
Kagiwada, H., R. Kalaba and Y. Thomas, J. Opt. Th. Applic. 5, 11–21 (1970).
Kalaba, R. and E. Ruspini, Int. J. Engin. Sci. 7, 1091–1101 (1969).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1971 Springer-Verlag
About this paper
Cite this paper
Huss, R., Kalaba, R. (1971). Computation of the moments of solutions of certain random two point boundary value problems. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069451
Download citation
DOI: https://doi.org/10.1007/BFb0069451
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-05656-0
Online ISBN: 978-3-540-36976-9
eBook Packages: Springer Book Archive
