DIRECT METHOD FOR VARIATIONAL PROBLEMS VIA HYBRID OF BLOCK-PULSE AND CHEBYSHEV FUNCTIONS
By Mohsen Razzaghi, H. Marzban. 2000
57 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Computer Vision and Pattern Recognition, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/eb97fdaa13f4330c7516c3b2ac82e1e64f967f3c
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In Atomic and Molecular Physics, and Optics
In Computer Vision and Pattern Recognition
In Mathematical Physics
Citations in the corpus
- An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “…combinations of block-pulse functions with polynomials have been proven to be a mathematical power tool for the discretization of selected problems (Razzaghi and Marzban, 2000a,b; Marzban and Razzaghi, 2005, 2006; Wang and Li, 2009; Hoseini et al., 2009; Singh et al., 2010; Tabrizidooz et al.,…”