A direct methodfor solving variationaIproblems using Taylor series is discussed. Properties of' Taylor series are brieJy presented and an operational matrix is utilized to solve the variational problems by means of a direct method. An illustrative example is given.
A walsh series direct method for solving variational problems
β Scribed by C.F. Chen; C.H. Hsiao
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 531 KB
- Volume
- 300
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
ABSTI~ACT : This paper establishes a clear procedure for the variational problem solution via the Walsh functions technique. First the Walsh functions are introduced and their properties briefly summarized. Then an operational matrix is derived for integration use. The variational problems are solved by means of the direct method using the Walsh series. An illustrative example and a practical application to a heat conduction problem are i~cluded.
π SIMILAR VOLUMES
In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained pote