Direct numerical method for isoperimetric fractional variational problems based on operational matrix
| Autor: | Samer S Ezz–Eldien, Ahmed A El–Kalaawy, Ali H. Bhrawy |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Mechanical Engineering
Direct method Numerical analysis Mathematical analysis Orthonormal polynomial Aerospace Engineering Basis function 010103 numerical & computational mathematics 01 natural sciences Fractional calculus Operational matrix Mechanics of Materials 0103 physical sciences Automotive Engineering General Materials Science 0101 mathematics Isoperimetric inequality 010301 acoustics Legendre polynomials Mathematics |
| Zdroj: | Journal of Vibration and Control. 24:3063-3076 |
| ISSN: | 1741-2986 1077-5463 |
| Popis: | In this paper, we applied a direct method for a solution of isoperimetric fractional variational problems. We use shifted Legendre orthonormal polynomials as basis function of operational matrices of fractional differentiation and fractional integration in combination with the Lagrange multipliers technique for converting such isoperimetric fractional variational problems into solving a system of algebraic equations. Also, we show the convergence analysis of the presented technique and introduce some test problems with comparisons between our numerical results with those introduced using different methods. |
| Databáze: | OpenAIRE |
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