Numerical solution of fractional partial differential equations by using radial basis functions combined with Legendre wavelets

	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

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