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The operational matrix of fractional integration for shifted Legendre polynomials | ||
| Iranian Journal of Science | ||
| مقاله 1، دوره 37، شماره 4، اسفند 2013، صفحه 439-444 اصل مقاله (143.35 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1778 | ||
| نویسندگان | ||
| G. H. Erjaee* ؛ M. H. Akrami؛ M. H. Atabakzadeh | ||
| Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 74811-71466, Shiraz, Iran | ||
| چکیده | ||
| In this article we implement an operational matrix of fractional integration for Legendre polynomials. We proposed an algorithm to obtain an approximation solution for fractional differential equations, described in Riemann-Liouville sense, based on shifted Legendre polynomials. This method was applied to solve linear multi-order fractional differential equation with initial conditions, and the exact solutions obtained for some illustrated examples. Numerical results reveal that this method gives ideal approximation for linear multi-order fractional differential equations. | ||
| کلیدواژهها | ||
| Fractional-order differential equation؛ operational matrix؛ shifted Legendre polynomials؛ Riemann-Liouville fractional integral operator | ||
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