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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

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
Journal: Applied Mathematics and Computation - Volume 219, Issue 9, 1 January 2013, Pages 4423–4433
نویسندگان
Lazhar Bougoffa, Abdelaziz Mennouni, Randolph C. Rach,