| contributor author | Kai Diethelm | |
| date accessioned | 2017-05-09T00:36:03Z | |
| date available | 2017-05-09T00:36:03Z | |
| date copyright | February, 2009 | |
| date issued | 2009 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28898#014502_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/142319 | |
| description abstract | Standard methods for the numerical calculation of fractional derivatives can be slow and memory consuming due to the nonlocality of the differential operators. and (2002, “ A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives,” ASME J. Vibr. Acoust., 124, pp. 321–324) have proposed a more efficient approach for operators whose order is between 0 and 1 that differs substantially from the traditional concepts. It seems, however, that the accuracy of the results can be poor. We modify the approach, adapting it better to the properties of the problem, and show that this leads to a significantly improved quality. Our idea also works for operators of order greater than 1. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Improvement of a Nonclassical Numerical Method for the Computation of Fractional Derivatives | |
| type | Journal Paper | |
| journal volume | 131 | |
| journal issue | 1 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.2981167 | |
| journal fristpage | 14502 | |
| identifier eissn | 1528-8927 | |
| keywords | Numerical analysis | |
| keywords | Approximation | |
| keywords | Computation | |
| keywords | Errors | |
| keywords | Formulas | |
| keywords | Differential equations | |
| keywords | Algorithms AND Dynamic systems | |
| tree | Journal of Vibration and Acoustics:;2009:;volume( 131 ):;issue: 001 | |
| contenttype | Fulltext | |
