کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844547 908598 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional high order methods for the nonlinear fractional ordinary differential equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Fractional high order methods for the nonlinear fractional ordinary differential equation
چکیده انگلیسی

In this paper, we consider the nonlinear fractional-order ordinary differential equation 0Dtαy(t)=f(y,t), (t>0)(t>0), n−1<α≤nn−1<α≤n, y(i)(0)=y0(i), i=0,1,2,…,n−1i=0,1,2,…,n−1, where f(y,t)f(y,t) satisfies the LL-condition, i.e., |f(y1,t)−f(y2,t)|≤L|y1−y2||f(y1,t)−f(y2,t)|≤L|y1−y2| in t∈[0,T]t∈[0,T]. Fractional-order linear multiple step methods are introduced. The high order (2–6) approximations of the fractional-order ordinary differential equation with an initial value are proposed. The consistence, convergence and stability of the fractional high order methods are proved. Finally, some numerical examples are provided to show that the fractional high order methods for solving the fractional-order nonlinear ordinary differential equation are computationally efficient solution methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 66, Issue 4, 15 February 2007, Pages 856–869
نویسندگان
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