Direct method for variational problems via hybrid of block-pulse and chebyshev functions
A direct method for finding the solution of variational problems using a hybrid function is discussed. The hybrid functions which consist of block-pulse functions plus Chebyshev polynomials are introduced. An operational matrix of integration and the integration of the cross product of two hybrid fu...
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| Format: | Article |
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Hindawi Limited
2000-01-01
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| Series: | Mathematical Problems in Engineering |
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| Online Access: | http://dx.doi.org/10.1155/S1024123X00001265 |
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doaj-273271d5b57a4bd5a9ef69b91a89121c2020-11-24T23:21:54ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472000-01-0161859710.1155/S1024123X00001265Direct method for variational problems via hybrid of block-pulse and chebyshev functionsMohsen Razzaghi0Hamid-Reza Marzban1Department of Mathematics and Statistics, Mississippi State University, P.O. Box MA, 39762, MS, USADepartment of Mathematics, Amirkabir University, Tehran, IranA direct method for finding the solution of variational problems using a hybrid function is discussed. The hybrid functions which consist of block-pulse functions plus Chebyshev polynomials are introduced. An operational matrix of integration and the integration of the cross product of two hybrid function vectors are presented and are utilized to reduce a variational problem to the solution of an algebraic equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.http://dx.doi.org/10.1155/S1024123X00001265Variational problems; Direct method; Hybrid; Chebyshev; Block-pulse. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohsen Razzaghi Hamid-Reza Marzban |
| spellingShingle |
Mohsen Razzaghi Hamid-Reza Marzban Direct method for variational problems via hybrid of block-pulse and chebyshev functions Mathematical Problems in Engineering Variational problems; Direct method; Hybrid; Chebyshev; Block-pulse. |
| author_facet |
Mohsen Razzaghi Hamid-Reza Marzban |
| author_sort |
Mohsen Razzaghi |
| title |
Direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| title_short |
Direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| title_full |
Direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| title_fullStr |
Direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| title_full_unstemmed |
Direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| title_sort |
direct method for variational problems via hybrid of block-pulse
and chebyshev functions |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2000-01-01 |
| description |
A direct method for finding the solution of variational problems using a hybrid function is discussed. The hybrid functions which consist of block-pulse functions plus Chebyshev polynomials are introduced. An operational matrix of integration and the integration of the cross product of two hybrid function vectors are presented and are utilized to reduce a variational problem to the solution of an algebraic equation. Illustrative examples are included to demonstrate the validity and applicability of the technique. |
| topic |
Variational problems; Direct method; Hybrid; Chebyshev; Block-pulse. |
| url |
http://dx.doi.org/10.1155/S1024123X00001265 |
| work_keys_str_mv |
AT mohsenrazzaghi directmethodforvariationalproblemsviahybridofblockpulseandchebyshevfunctions AT hamidrezamarzban directmethodforvariationalproblemsviahybridofblockpulseandchebyshevfunctions |
| _version_ |
1725569621783740416 |