The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 97
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شناسه ملی سند علمی:
JR_IJIM-10-4_004
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
This paper presents the numerical solution for a class of fractional differential equations. The fractional derivatives are described in the Caputo \cite{۱} sense. We developed a reproducing kernel method (RKM) to solve fractional differential equations in reproducing kernel Hilbert space. This method cannot be used directly to solve these equations, so an equivalent transformation is made by using Taylor series. Some numerical examples are studied to demonstrate the accuracy of the given method.
کلیدواژه ها:
نویسندگان
A. Alvandi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
M. Paripour
Department of Computer Engineering and Information Technology, Hamedan University of Technology, Hamedan, Iran.