کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703848 1012392 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Improving the differential transform method: A novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Improving the differential transform method: A novel technique to obtain the differential transforms of nonlinearities by the Adomian polynomials
چکیده انگلیسی

Although being powerful, the differential transform method (DTM) yet suffers from a drawback which is the lack of a systematic methodology for derivation of the differential transforms for nonlinear expressions. In the current paper, it is shown that this defect can be overcome with the help of the Adomian polynomials perfectly. The application of the proposed technique in treatment of nonlinear differential equations is well illustrated by a number of examples. In addition, the transformed analogues of some frequent nonlinearities are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 37, Issue 8, 15 April 2013, Pages 6008–6017
نویسندگان
, ,