| contributor author | Mao, Zhi | |
| contributor author | Xiao, Aiguo | |
| contributor author | Wang, Dongling | |
| contributor author | Yu, Zuguo | |
| contributor author | Shi, Long | |
| date accessioned | 2017-05-09T01:15:51Z | |
| date available | 2017-05-09T01:15:51Z | |
| date issued | 2015 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_010_05_051009.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/157320 | |
| description abstract | A high accurate Rayleigh–Ritz method is developed for solving fractional variational problems (FVPs). The Jacobi polyfractonomials proposed by Zayernouri and Karniadakis (2013, “Fractional Sturm–Liouville EigenProblems: Theory and Numerical Approximation,†J. Comput. Phys., 252(1), pp. 495–517.) are chosen as basis functions to approximate the true solutions, and the Rayleigh–Ritz technique is used to reduce FVPs to a system of algebraic equations. This method leads to exponential decay of the errors, which is superior to the existing methods in the literature. The fractional variational errors are discussed. Numerical examples are given to illustrate the exponential convergence of the method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Exponentially Accurate Rayleigh–Ritz Method for Fractional Variational Problems | |
| type | Journal Paper | |
| journal volume | 10 | |
| journal issue | 5 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4028581 | |
| journal fristpage | 51009 | |
| journal lastpage | 51009 | |
| identifier eissn | 1555-1423 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2015:;volume( 010 ):;issue: 005 | |
| contenttype | Fulltext | |
