کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776355 1631974 2017 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new numerical method for solving high-order fractional eigenvalue problems
ترجمه فارسی عنوان
یک روش عددی جدید برای حل مسائل مربوط به مقدار مشخصی کسر محسوب می شود
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
The paper presents a new numerical method for solving eigenvalue problems for fractional high-order differential equations with variable coefficients. It combines two techniques: the method of external excitation (MEE) and the backward substitution method (BSM). The first one is a mathematical model of physical measurements when a mechanical, electrical or acoustic system is excited by some source, and resonant frequencies can be determined by using the growth of the amplitude of oscillations near these frequencies. The BSM consists of replacing the original equation by an approximate equation which has an exact analytic solution with a set of free parameters. These free parameters are determined by the use of the collocation procedure. Some examples are given to demonstrate the validity and applicability of the new method, and a comparison is made with the existing results. In particular, fractional problems of the fourth, sixth and eighth orders are considered. The numerical results show that the proposed method is of a high accuracy and is efficient for solving a wide class of eigenvalue problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 317, June 2017, Pages 603-623
نویسندگان
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