کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629207 1340575 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving Cauchy integral equations of the first kind by the Adomian decomposition method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solving Cauchy integral equations of the first kind by the Adomian decomposition method
چکیده انگلیسی

A new approach is presented to resolve Cauchy integral equations of the first kind in the general case by first considering a regularized integral equation and then transforming it into a canonical form suitable for applying the Adomian decomposition method (ADM). We obtain a decomposition solution φϵφϵ of the regularized integral equation and prove the convergence of our new combined method. As the regularization parameter ϵ→1ϵ→1, the obtained solution is shown to be a sufficiently good approximate solution for the particular Cauchy integral equation. The proposed method has been tested for a variety of Cauchy integral equations, which are particularly important in engineering applications, e.g. airfoil design, etc.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4423–4433
نویسندگان
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