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Approximate Technique for Solving Class of Fractional Variational Problems
| Content Provider | Semantic Scholar |
|---|---|
| Author | Solouma, E. M. Khader, Mohamed M. |
| Copyright Year | 2015 |
| Abstract | This paper is devoted to implementing the Legendre spectral collocation method to introduce numerical solutions of a certain class of fractional variational problems (FVPs). The properties of the Legendre polynomials and Rayleigh-Ritz method are used to reduce the FVPs to the solution of system of algebraic equations. Also, we study the convergence analysis. The obtained numerical results show the simplicity and the efficiency of the proposed method. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.scirp.org/Journal/PaperDownload.aspx?paperID=56415 |
| Alternate Webpage(s) | http://file.scirp.org/pdf/AM_2015051915293635.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algebraic equation Approximation algorithm Calculus of variations Collocation method Computation Convergence (action) Functional derivative Legendre polynomials MATLAB Numerical analysis Polynomial Rayleigh–Ritz method Small Solutions Spectral method Variational principle |
| Content Type | Text |
| Resource Type | Article |
