The transformation matrix reIating the back vector to the current time vector for the Fourier series is derived and utilized to solve the linear two-point boundary value problem. This approach can be applied to obtain the optimal control of linear systems subject to quadratic cost criteria. Illustra
Solution of linear two-point boundary value problems via Taylor series
โ Scribed by Mohsen Razzaghi; Mehdi Razzaghi
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 470 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0016-0032
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โฆ Synopsis
An approximate method based on Taylor series is proposed and extended to solve the linear ordinary d@erential equation of the two-point boundary value problem. The linear ordinary dtflerential equation of boundary value problems are reduced to the linear functional dtflerential equation of the initiaI-value problem, and using the TayIor series operational matrix of integration, the solution of the linear functional ordinary dtzerential equation of the initial-value problem is derived. Two illustrative examples are presented.
๐ SIMILAR VOLUMES
The paper describes the use of a general-purpose analogue computer for the solution of some two-point boundary value problems in structures. A feature of the technique is the use of an iteration sub-circuit whereby the computer auto, matically establishes the correct' initial conditions 'for the pro