کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631704 1340627 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A study on the convergence of homotopy analysis method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A study on the convergence of homotopy analysis method
چکیده انگلیسی

In this study, a reliable approach for convergence of the homotopy analysis method when applied to nonlinear problems is discussed. First, we present an alternative framework of the method which can be used simply and effectively to handle nonlinear problems. Then, mainly, we address the sufficient condition for convergence of the method. The convergence analysis is reliable enough to estimate the maximum absolute truncated error of the homotopy series solution. The analysis is illustrated by investigating the convergence results for some nonlinear differential equations. The study highlights the power of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 2, 15 September 2010, Pages 782–789
نویسندگان
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