کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1138164 1489191 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solution of delay differential equations via a homotopy perturbation method
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Solution of delay differential equations via a homotopy perturbation method
چکیده انگلیسی

Delay differential equations (denoted as DDE) have a wide range of application in science and engineering. They arise when the rate of change of a time-dependent process in its mathematical modeling is not only determined by its present state but also by a certain past state. Recent studies in such diverse fields as biology, economy, control and electrodynamics have shown that DDEs play an important role in explaining many different phenomena. In particular they turn out to be fundamental when ODE-based models fail. In this research, the solution of a delay differential equation is presented by means of a homotopy perturbation method and then some numerical illustrations are given. These results reveal that the proposed method is very effective and simple to perform.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 48, Issues 3–4, August 2008, Pages 486–498
نویسندگان
, ,