کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706800 1012478 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The homotopy analysis method for handling systems of fractional differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The homotopy analysis method for handling systems of fractional differential equations
چکیده انگلیسی

In this paper we present an efficient numerical algorithm for solving linear and nonlinear systems of fractional differential equations (FDEs). The homotopy analysis method is applied to construct the numerical solutions. The proposed algorithm avoids the complexity provided by other numerical approaches. The method is applied to solve three systems of FDEs. Results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented elsewhere. Moreover, an attempt has been made to address few issues like the effect of varying the auxiliary parameter ℏ, auxiliary function H(t  ), and the auxiliary linear operator LL on the order of local error and convergence of the method. Also, we show that the homotopy perturbation method and Adomain decomposition method are special cases of the homotopy analysis method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 34, Issue 1, January 2010, Pages 24–35
نویسندگان
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