کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
472496 698725 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
چکیده انگلیسی

In this paper, we present the Adomian decomposition method and its modifications combined with convergence acceleration techniques, such as the diagonal Padé approximants and the iterated Shanks transforms, to solve nonlinear fractional ordinary differential equations. Two nonlinear numeric examples demonstrate that either the diagonal Padé approximants or the iterated Shanks transforms can efficiently extend the effective convergence region of the decomposition series solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 66, Issue 5, September 2013, Pages 728–736
نویسندگان
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