Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-06
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We present a new numerical method for the computation of the forcing term of minimal norm such that a two-point boundary value problem admits a solution.
The method relies on the following steps.
The forcing term is written as a (truncated) Chebyshev series, whose coefficients are free parameters.
A technique derived from automatic differentiation is used to solve the initial value problem, so that the final value is obtained as a series of polynomials whose coefficients depend explicitly on (the coefficients of) the forcing term.
Then the minimization problem becomes purely algebraic and can be solved by standard methods of constrained optimization, for example, with Lagrange multipliers.
We provide an application of this algorithm to the planar restricted three body problem in order to study the planning of low-thrust transfer orbits.
American Psychological Association (APA)
Arioli, Gianni. 2013. Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-506222
Modern Language Association (MLA)
Arioli, Gianni. Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems. Journal of Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-506222
American Medical Association (AMA)
Arioli, Gianni. Optimization of the Forcing Term for the Solution of Two-Point Boundary Value Problems. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-506222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506222