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Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets | ||
Journal of Mathematical Modeling | ||
مقاله 6، دوره 8، شماره 4، آذر 2020، صفحه 435-454 اصل مقاله (837.42 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2020.16806.1459 | ||
نویسندگان | ||
Parisa Rahimkhani؛ Yadollah Ordokhani* | ||
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran | ||
چکیده | ||
This paper presents an approximate method to solve a class of fractional partial differential equations (FPDEs). First, we introduce radial basis functions (RBFs) combined with wavelets. Next, we obtain fractional integral operator (FIO) of wavelets-radial basis functions (W-RBFs) directly. In the next step, the W-RBFs and their FIO are used to transform the problem under consideration into a system of algebraic equations, which can be simply solved to achieve the solution of the problem. Finally, some numerical examples are presented to illustrate the efficiency and accuracy of the method. | ||
کلیدواژهها | ||
Fractional partial differential equations؛ radial basis functions؛ Legendre wavelets؛ numerical method؛ fractional integral operator | ||
آمار تعداد مشاهده مقاله: 867 تعداد دریافت فایل اصل مقاله: 1,197 |