Direct Restarted Pell Algorithm for Solving Calculus of Variation Problems
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Published:2021-06-15
Issue:2
Volume:13
Page:
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ISSN:2521-3504
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Container-title:Journal of Al-Qadisiyah for Computer Science and Mathematics
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language:
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Short-container-title:J. Al-Qadisiyah Comp. Sci. Math.
Author:
SHIHAB Suha,RASHEED Mohammed,Rashid Ahmed,Rashid Taha,Abed Hamed Saad Hussein,Ridha AL-Sabbag Yasir Ahmed Mohammed
Abstract
The Pell Polynomial series is employed to solve problems in calculus of variations. The solution can be considered as linear combinations of Pell polynomials with unknown coefficients. Then a calculus of variational problem transforms into an optimization problem and will be solved using mathematical programming techniques. The proposed method converges rapidly to the exact solution and gives accurate results using small number of Pell polynomials basis polynomials. Some illustrative examples are included and the approximate results obtained by restarted Pell series are compared with the exact solutions.
Publisher
Journal of Al-Qadisiyah for Computer Science and Mathematics
Cited by
1 articles.
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1. Direct Method for Variational Problems Using Boubaker Wavelets;Ibn AL-Haitham Journal For Pure and Applied Sciences;2023-07-20