کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639549 1341238 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical technique for solving a class of fractional variational problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A numerical technique for solving a class of fractional variational problems
چکیده انگلیسی

This paper presents a numerical method for solving a class of fractional variational problems (FVPs) with multiple dependent variables, multi order fractional derivatives and a group of boundary conditions. The fractional derivative in the problem is in the Caputo sense. In the presented method, the given optimization problem reduces to a system of algebraic equations using polynomial basis functions. An approximate solution for the FVP is achieved by solving the system. The choice of polynomial basis functions provides the method with such a flexibility that initial and boundary conditions can be easily imposed. We extensively discuss the convergence of the method and finally present illustrative examples to demonstrate validity and applicability of the new technique.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 237, Issue 1, 1 January 2013, Pages 633–643
نویسندگان
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