Citation
Abstract
A new collocation method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations, which are the necessary conditions of the extremums of problems in calculus of variation. The proposed method is based upon the Bernoulli polynomials approximation together with their operational matrix of differentiation. After imposing the collocation nodes to the main BVPs, we reduce the variational problems to the solution of algebraic equations. It should be noted that the robustness of operational matrices of differentiation with respect to the integration ones is shown through illustrative examples. Complete comparisons with other methods and superior results confirm the validity and applicability of the presented method.
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Official URL or Download Paper: http://www.hindawi.com/journals/mpe/2013/757206/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/757206 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Collocation method; Bernoulli operational matrix; Algebraic equations; Bernoulli polynomials; Calculus of variations. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 02 Jul 2014 01:40 |
| Last Modified: | 12 Jan 2016 01:13 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/757206 |
| URI: | http://psasir.upm.edu.my/id/eprint/30131 |
| Statistic Details: | View Download Statistic |
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