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A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 9، شماره 3، آذر 2021، صفحه 501-516 اصل مقاله (615.91 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.18634.1596 | ||
| نویسندگان | ||
| Parisa Rahimkhani؛ Yadollah Ordokhani* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran | ||
| چکیده | ||
| In the current investigation, the distributed order fractional derivative operational matrix based on the Legendre wavelets (LWs) as the basis functions is derived. This operational matrix is applied together with collocation method for solving distributed order fractional differential equations. Also, convergence analysis of the proposed scheme is given. Finally, numerical examples are presented to show the efficiency and superiority of the mentioned scheme. | ||
| کلیدواژه‌ها | ||
| Legendre wavelets؛ distributed order fractional diffrential equations؛ Numerical method؛ operational matrix | ||
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